Write the expression as the logarithm of a single quantity. 1 3 (6 In(x + 5) + In(x) – In(x² – 6))

Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…

A: Given: logc1+2logc5+logc2+logcc-12logc100

Q: 5. Write as the sum and/or difference of logarithms. Express powers as factors. Vx+4 (x-1)2²\ In 5(2…

A:

Q: Which expression has the greater value? Show all of your work. 1 A: log2 16+ log2 8 B: log() -log(1)…

A:

Q: 5. A logarithm is best defined by which of the following words:

A: A logarithm can be defined as the exponent that indicates the power to which a base number is raised…

Q: 9. Use the properties of logarithms to write the expression as a single logarithm. a) Inx – 3 In y +…

A:

Q: 2. Express the following logarithms in terms of In 5 and In 7. a) In() b) In 7/7 c) In 1225 125

A: 2  a Given expression is ln1125. ln1125=ln153=ln5−3=−3ln5Use property lnmn=nlnm Hence, ln1125=−3ln5…

Q: 7. a). Expand the expression into a sum, difference, and/or multiple of logarithms: log C Ans.

A:

Q: B. If z = a + bị and a + bi =r < 0, what is a. The logarithm of z b. The exponential function of z

A: Given z = a + bi

Q: 7. Condense the expression to the logarithm of a single quantity. 6log,, x – 4 log,(x +9) [A] 24 log…

A:

Q: Use the properties of logarithms to write the expression in Exercise as a single term.

A: a) Given: The expression lnsinθ-lnsinθ2. The given expression can be simplified as,…

Q: Express log; M+4log, Nas a 3 single logarithm. M a) log; b) log, (M'³N*) M c) log; d) log; (MN) O a…

A: To Express in single logarithm

Q: 14. Expand the following logarithmic expression as much as possible. .3..2 logb ab2

A:

Q: Rewrite the expression 2 In 6 + 4 In x + 4 ln(x² + 8) as a single logarithm In A. Then the function…

A: We have to find

Q: 5. Place the following logarithmic expressions in order from least to greatest. i a. log, 65 b. In10…

A: Let's find.

Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

A:

Q: Use the Laws of Logarithms to expand the expression. In(aº) In(a) + 2 In(3) Need Heln? Read It

A: ln(a9) We have to apply logarithm property

Q: 6. For which value of x is the expression log, (2x – 3) undefined? (1) 1 (3) 3 (2) 2 (4) 7

A:

Q: 6. Use the properties of logarithms to write the expression as a single logarithm. log,(x+4)+=log,x…

A:

Q: e. -9+2i f. 5

A:

Q: 24) Use the Laws of Logarithms to combine the following expressions. a) log,(x – 2) + 2log2(x)…

A:

Q: Evaluate the expressions 3^log3(9) e^ln(√7) use law of logarithms to expand: log7(a√x)

A:

Q: 16 The expression log can be written in the form z12 A log(x) + Blog(y) + C log(z) where A B = and C…

A:

Q: Jse the Laws of Logarithms to combine the expression. 3 log(x) - 5 log(x +

A: We can solve it using the properties if logarithm as below

Q: A. The equivalent exponential form of log,(x+5)= 6 is B. The equivalent logarithmic form of 3.4* = 5…

A:

Q: 13 Use the properties of logarithms to rewrite the expression and simplify if possible. 81y In (x+6)

A:

Q: Which of the following is an equivalent exponential expression of log:(x) = -1 A (3) -1—х (-1)*=! 3…

A: The logarithmic formula is given by logba=c⇔bc=a.

Q: 24. Combine the expressions by writing them as a logarithm of a single exprossion. (a) Hoga ( + 1)…

A: Given expression is: (1/3) . log_5 (x + 1) + (1/3) . log_5 (x - 1) = (1/3) . [log_5 (x + 1) + log_5…

Q: 1 Evaluate the expression log 55 O- 1 2

A:

Q: Rewrite the following logarithmic equations in exponential form. 6. log m= n В. 7. log3 81=4 8. log4…

A: Given the equations in logarhmic form

Q: 4. Write the expression as a single logarithm. Use properties of logarithms to simplify and condense…

A:

Q: Evaluate the given expressions using properties of the natural logarithm.

A: we know that alogab=balogm-blogn=logma-lognb

Q: 13 Which of the following is equivalent to x - 3 = 2? A log, (x - 2) = 2 B log, (x + 3) = 2 C log,…

A: The given equation is: x-3=22

Q: 2. Use the properties of logarithms to rewrite each expression as a single logarithm. a. log x +2…

A: given,        a.    logx+2logy-logzb.    12logx-2logy-3logz

Q: g) an = In(n+ 1) – In(n) (Hint: simplify the logarithms) (-3)" h) an n! i) an = Vn + 2 – V2n

A:

Q: For Exercise. write the logarithmic expression as a single logarithm with coefficient 1, and…

A:

Q: 8. Write as the sum and/or difference of logarithms. Express powers as factors. Vx +3 (x - 4)5\ In…

A:

Q: ,15 The expression log can be written in the form z18 A log(x) + Blog(y) + C log(z) where A = В -…

A: Given logx11y15z18We know that log(AB)=log(A)+log(B)and log(AB)=log(A)-log(B)Therefore the…

Q: 14. Find the integer that is represented by the following logarithmic expression. log2 48 - log2 6

A: The given equation,   log248-log26

Q: Change the exponential expression to an equivalent expression involving a logarithm. 19) 19) 4 =x A)…

A: Given : 42=x          (1)

Q: x²-9 4. Expand the logarithmic expression log, x²-6x+8

A:

Q: Rewrite the expression 5 log z - 4log(² + 1) + 2 log (x – 1) single logarithm log A. Then as a A=

A:

Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

A:

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

A: We use logarithmic properties

Q: 27) Expand the following logarithmic expression entirely, over the real numbers: x² – 4 In |(x² +…

A:

Q: I.Evaluate the following logarithmic expressions: log; 652 1. log,() 32 2. II. Rewrite the following…

A:

Q: 2. Evaluate the expression a) log3 9 b) log4(.25) c) In e-5

A:

Q: 2. If a, b, c, d > 0, use the properties of logarithms to simplify and then find the exact numerical…

A: Given: 2 log a+ 2 log ba+log cd-log cb2-10d=0

Q: 5. Assume x, y, z, and b are positive and b is greater than 1, write the expression with logarithms…

A:

Q: 15) Write the expression as the logarithm of a single number or expression with a coefficient of 1.…

A: