1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter10: Exponential And Logarithmic Functions
10.1 Finding Composite And Inverse Functions 10.2 Evaluate And Graph Exponential Functions 10.3 Evaluate And Graph Logarithmic Functions 10.4 Use The Properties Of Logarithms 10.5 Solve Exponential And Logarithmic Equations Chapter Questions Section10.3: Evaluate And Graph Logarithmic Functions
Problem 10.35TI: Convert to logarithmic form: (a) 32=9 (b) 712=7 (c) (13)x=127 Problem 10.36TI: Convert to logarithmic form: (a) 43=64 (b) 413=43 (c) (12)x=132 Problem 10.37TI: Convert to exponential form: (a) 3=log464 (b) 0=logx1 (c) 2=log101100 Problem 10.38TI: Convert to exponential form: (a) 3=log327 (b) 0=logx1 (c) 1=log10110 Problem 10.39TI: Find the value of x: (a) logx64=2 (b) log5x=3 (c) log1214=x Problem 10.40TI: Find the value of x: (a) logx81=2 (b) log3x=5 (c) log13127=x Problem 10.41TI: Find the exact value logarithm without using a calculator: (a)log12144 (b)log42 (c)log2132 Problem 10.42TI: Find the exact value logarithm without using a calculator: (a)log981 (b)log82 (c)log319 Problem 10.43TI: Graph: y=log3x. Problem 10.44TI: Graph: y=log5x. Problem 10.45TI: Graph: y=log12x. Problem 10.46TI: Graph: y=log14x. Problem 10.47TI: Solve: (a) loga121=2 (b) lnx=7 Problem 10.48TI: Solve: (a) loga64=3 (b) lnx=9 Problem 10.49TI: Solve: (a) log2(5x1)=6 (b) lne3x=6 Problem 10.50TI: Solve: (a) log3(4x+3)=3 (b) lne4x=4 Problem 10.51TI: What is the decibel level of one of the new quiet dishwashers with intensity 107 watts per square... Problem 10.52TI: What is the decibel level heavy city traffic with intensity 103 watts per square inch? Problem 10.53TI: In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter... Problem 10.54TI: In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In... Problem 126E: In the following exercises, convert form exponential to logarithmic form. 126. 42=16 Problem 127E: In the following exercises, convert form exponential to logarithmic form. 127. 25=32 Problem 128E: In the following exercises, convert form exponential to logarithmic form. 128. 33=27 Problem 129E: In the following exercises, convert form exponential to logarithmic form. 129. 53=125 Problem 130E: In the following exercises, convert form exponential to logarithmic form. 130. 103=1000 Problem 131E: In the following exercises, convert form exponential to logarithmic form. 131. 102=1100 Problem 132E: In the following exercises, convert form exponential to logarithmic form. 132. x12=3 Problem 133E: In the following exercises, convert form exponential to logarithmic form. 133. x13=63 Problem 134E: In the following exercises, convert form exponential to logarithmic form. 134. 32x=324 Problem 135E: In the following exercises, convert form exponential to logarithmic form. 135. 17x=175 Problem 136E: In the following exercises, convert form exponential to logarithmic form. 136. (14)2=116 Problem 137E: In the following exercises, convert form exponential to logarithmic form. 137. (13)4=181 Problem 138E: In the following exercises, convert form exponential to logarithmic form. 138. 32=19 Problem 139E: In the following exercises, convert form exponential to logarithmic form. 139. 43=164 Problem 140E: In the following exercises, convert form exponential to logarithmic form. 140. ex=6 Problem 141E: In the following exercises, convert form exponential to logarithmic form. 141. e3=x Problem 142E: In the following exercises, convert each logarithmic equation to exponential form. 142. 3=log464 Problem 143E: In the following exercises, convert each logarithmic equation to exponential form. 143. 6=log264 Problem 144E: In the following exercises, convert each logarithmic equation to exponential form. 144. 4=logx81 Problem 145E: In the following exercises, convert each logarithmic equation to exponential form. 145. 5=logx32 Problem 146E: In the following exercises, convert each logarithmic equation to exponential form. 146. 0=log121 Problem 147E: In the following exercises, convert each logarithmic equation to exponential form. 147. 0=log71 Problem 148E: In the following exercises, convert each logarithmic equation to exponential form. 148. 1=log33 Problem 149E: In the following exercises, convert each logarithmic equation to exponential form. 149. 1=log99 Problem 150E: In the following exercises, convert each logarithmic equation to exponential form. 150.... Problem 151E: In the following exercises, convert each logarithmic equation to exponential form. 151. 3=log101,000 Problem 152E: In the following exercises, convert each logarithmic equation to exponential form. 152. 5=logex Problem 153E: In the following exercises, convert each logarithmic equation to exponential form. 153. x=loge43 Problem 154E: In the following exercises, find the value of x in each logarithmic equation. 154. logx49=2 Problem 155E: In the following exercises, find the value of x in each logarithmic equation. 155. logx121=2 Problem 156E: In the following exercises, find the value of x in each logarithmic equation. 156. logx27=3 Problem 157E: In the following exercises, find the value of x in each logarithmic equation. 157. logx64=3 Problem 158E: In the following exercises, find the value of x in each logarithmic equation. 158. log3x=4 Problem 159E: In the following exercises, find the value of x in each logarithmic equation. 159. log5x=3 Problem 160E: In the following exercises, find the value of x in each logarithmic equation. 160. log2x=6 Problem 161E: In the following exercises, find the value of x in each logarithmic equation. 161. log3x=5 Problem 162E: In the following exercises, find the value of x in each logarithmic equation. 162. log14116=x Problem 163E: In the following exercises, find the value of x in each logarithmic equation. 163. log1319=x Problem 164E: In the following exercises, find the value of x in each logarithmic equation. 164. log1464=x Problem 165E: In the following exercises, find the value of x in each logarithmic equation. 165. log1981=x Problem 166E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 167E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 168E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 169E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 170E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 171E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 172E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 173E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 174E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 175E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 176E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 177E: In the following exercises, find the exact value of each logarithmic without using a calculator.... Problem 178E: In the following exercises, graph each logarithmic function. 178. y=log2x Problem 179E: In the following exercises, graph each logarithmic function. 179. y=log4x Problem 180E: In the following exercises, graph each logarithmic function. 180. y=log6x Problem 181E: In the following exercises, graph each logarithmic function. 181. y=log7x Problem 182E: In the following exercises, graph each logarithmic function. 182. y=log1.5x Problem 183E: In the following exercises, graph each logarithmic function. 183. y=log2.5x Problem 184E: In the following exercises, graph each logarithmic function. 184. y=log13x Problem 185E: In the following exercises, graph each logarithmic function. 185. y=log15x Problem 186E: In the following exercises, graph each logarithmic function. 186. y=log0.4x Problem 187E: In the following exercises, graph each logarithmic function. 187. y=log0.6x Problem 188E: In the following exercises, solve each logarithmic equation. 188. loga16=2 Problem 189E: In the following exercises, solve each logarithmic equation. 189. loga81=2 Problem 190E: In the following exercises, solve each logarithmic equation. 190. loga8=3 Problem 191E: In the following exercises, solve each logarithmic equation. 191. ] loga27=3 Problem 192E: In the following exercises, solve each logarithmic equation. 192. loga32=2 Problem 193E: In the following exercises, solve each logarithmic equation. 193. loga24=3 Problem 194E: In the following exercises, solve each logarithmic equation. 194. lnx=5 Problem 195E: In the following exercises, solve each logarithmic equation. 195. lnx=4 Problem 196E: In the following exercises, solve each logarithmic equation. 196. log2(5x+1)=4 Problem 197E: In the following exercises, solve each logarithmic equation. 197. log2(6x+2)=5 Problem 198E: In the following exercises, solve each logarithmic equation. 198. log3(4x3)=2 Problem 199E: In the following exercises, solve each logarithmic equation. 199. log3(5x4)=4 Problem 200E: In the following exercises, solve each logarithmic equation. 200. log4(5x+6)=3 Problem 201E: In the following exercises, solve each logarithmic equation. 201. log4(3x2)=2 Problem 202E: In the following exercises, solve each logarithmic equation. 202. lne4x=8 Problem 203E: In the following exercises, solve each logarithmic equation. 203. lne2x=6 Problem 204E: In the following exercises, solve each logarithmic equation. 204. logx2=2 Problem 205E: In the following exercises, solve each logarithmic equation. 205. log(x225)=2 Problem 206E: In the following exercises, solve each logarithmic equation. 206. log2(x24)=5 Problem 207E: In the following exercises, solve each logarithmic equation. 207. log3(x2+2)=3 Problem 208E: In the following exercises, use a logarithmic model to solve. 208. What is the decibel level of... Problem 209E: In the following exercises, use a logarithmic model to solve. 209. What is the decibel level of a... Problem 210E: In the following exercises, use a logarithmic model to solve. 210. What is the decibel level of the... Problem 211E: In the following exercises, use a logarithmic model to solve. 211. What is the decibel level of the... Problem 212E: In the following exercises, use a logarithmic model to solve. 212. In 2014, Chile experienced an... Problem 213E: In the following exercises, use a logarithmic model to solve. 213. The Los Angeles area experiences... Problem 214E: In the following exercises, use a logarithmic model to solve. 214. Explain how to change an equation... Problem 215E: In the following exercises, use a logarithmic model to solve. 215. Explain the difference between... Problem 216E: In the following exercises, use a logarithmic model to solve. 216. Explain why logaax=x. Problem 217E: In the following exercises, use a logarithmic model to solve. 217. Explain how to find the log732 on... Problem 10.35TI: Convert to logarithmic form: (a) 32=9 (b) 712=7 (c) (13)x=127
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Convert into a logarithmic equation using methods taught in grade 12 advanced functions
Transcribed Image Text: Convert 3 y -5 into a logarithmic equation.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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