4.) 6 log, 41 – 7 log3 27 1 5.) log,+ log24 576 49 6.) log4 100 – log4 50 + log4 64 – log3 27

Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

Q: If log,3 =z, then log,81 expressed in terms of æ is

A:

Q: 6. Solve log,(1 – 3x) = log,(1 – 5x) – log, 2x (A)

A: Some of the properties of the logarithmic function  If logax=logay then x=y logax+logay=loga(xy)…

Q: PROVE that log, 100 = 2(1 +log; 2)

A: We have to prove that                                     log5100=21+log52

Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: Expand the logarithm using the laws of logarithms: logs

A:

Q: 4. Use the properties of logarithms to expand the expression as a sum, differences, and/or cons…

A: The given expression is logbx5b6y7z164 We expand the expression as sum , difference of logarithm…

Q: 14. Set up and solve an equation to evaluate log, ().

A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

Q: Which of the following are equivalent to log, (2)? Choose all that apply. O- log, () 1 Olog, (8) O…

A: Let's simplify each expression one by one.

Q: 6) If log, 2 = 0.69, log, 3 = 1.10 and log, 5 = 1.61, find the value of the following i) log, 2 ii)…

A: We have given the values at some point of logarithm function as logb2= 0.69logb3=1.10logb5=1.61 Find…

Q: Which of the following is an equivalent expression for log, 24 ? A log2 6 – log2 4 B log, 20 + log,…

A:

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: PROVE that log5 100 = 2(1 + log5 2)

A:

Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

A:

Q: write as sum/difference of logathirims. express powers as factors.    log2 (xy^6 / z^2)…

A: Logarithm

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A:

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

A:

Q: | Use appropriate laws of logarithms to evaluate 3 log16 2 +2 log16 8 – log16 2.

A: Log properties

Q: 8.) log2(3)(37) 9.) log4(64)(37) + log3(343)(2) 2 10.) log10 0.02 + log4– log2 47 3

A:

Q: Use the Laws of Logarithms to expand the expression. log z2

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log æ.…

A:

Q: Use the Laws of Logarithms to expand the expression.

A: lnr3s

Q: Given the function Ax) = logx determine the value of af'(23)- O 1023 23 2.3 230

A:

Q: 2) Choose the best answer. If log, 2 0.69 and log, 8 = 2.08, then log, 4 = %3D %3D 1.38 O 1.39 0.36…

A:

Q: 1.) log5 125 + log, 343 2.) log4 64 – log2 4

A:

Q: 6. Rewrite the equation in Logarithmic form. 9^3/2 = 27 %3D O Logb9 3/2 = 27 %3D O Logb9 27 = 3/2…

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log c.…

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log a,…

A: properties of logarithms are logcab=logca-logcb logcab=logca+logcb logaxb=b·logax

Q: Show that 4 + log 2 3 = 1 + log 2 24

A: Given:4+log2 3=1+log2 24Formula:loga a=1loga ap=ploge a×b=loge a+ logeb

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log æ.…

A: To find the value of log6x4.

Q: Which of the following are equivalent to log, (4)? Choose all that apply. O log, (24) – log,(6) log,…

A: We use logarithmic properties

Q: 8. Use the properties of logarithms to expand the expression. (Assume all variables are positive.)…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Use the Laws of Logarithms to expand log2 7t². in

A: To expand using laws of logarithms

Q: 4. If log,v =logox- (2logby+log,z), what is the value of v?

A: Logarithm s

Q: Which of the following is an equivalent expression for log, 24 . log2 6 – log24 log, 20 + log, 4…

A:

Q: Use the Laws of Logarithms to expand the expression. log2 (AB2)

A: Given expression is log2 (AB2)

Q: Ismael made an error when he was evaluating log, 27 – log, 9. Ismael's work log; 27 – log3 9 log, 27…

A: note: As per our company guideline we are supposed to answer only one question. Kindly repost other…

Q: 7. Use log, 2 0.4307 and log, 3 0.6826 to approximate the value of log, 12. O A. 1.5440 O B. 0.8681…

A:

Q: Prove that log(7) is irrational. Hint: Use contradiction and the definition of a logarithm to prove.

A:

Q: Use the Laws of Logarithms to expand the expression.

A: The given logarithm expression can be expanded using following properties of logarithms. The…

Q: Evaluate the expression without using a calculator. If evaluation is not possible, state the reason.

A: The given expression is log319

Q: Which statement is true? 4 is a solution of 25x +3 > 73- O 4 is a solution of logx + 2 < 2. O The…

A: We have to check

Q: expressions

A:

Q: Match the equivalent statements using logarithmic properties. logs (12) +log3 (8) logs (12) - log3…

A: log312+log38log312−log388×log312log312log812

Q: Use the Laws of Logarithms to expand the expression. In √ab

A: Given: The expression lnab. The given expression can be expanded as, lnab=lnab12…

Q: What is the value of log, 8? Enter your answer in the box. log2 8 %3D

A: Find: log28 = ?

Q: log, 50.699 and log, 70.845. Use these values to evaluate log, 245. loga245 =

A: loga5 ≈ 0.699 loga7 ≈ 0.845 using the above given values to evaluate loga245

Q: 2) Use laws of logarithms to fully expand the expression. log9 x²+9.

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: