Evaluate: log3 (7√3).

Q: Evaluate the expression without using a calculator: log6√6

A: Logarithmic properties: logk(k) = 1 logn(n) = 1 log(xn) = n*log(x)

Q: Use log „2 = 0.693 and/or log ,9 = 2.197 to find log ,

A:

Q: Find the logarithm. log 82

A:

Q: Use the​ change-of-base theorem to find the logarithm log 26

A: According to change of base theorem, logab = log b / log a

Q: For Exercise, write the equation in exponential form. -4 log 10,000

A: Given  To find the equation in exponential form, first remove the log by taking both side e.

Q: For Exercise, simplify the expression without using a calculator. loga 16

A:

Q: Use logarithm properties to show how to rewrite the following expression

A: Let the given logarithmic terms be y - y = log25 + log87y = log25 + log7log8…

Q: Evaluate log 8  5 correct to six decimal places

A:

Q: thout the use of a calculator. Write your answer as a fraction reduc log,(V36)

A: We have to find

Q: . Graph the functions by changing to exponential form.a. y = log3x         b. y = log5x

A: a) y=log3xb) y=log5x

Q: log, t3g

A: given log5(x3y2t3g)

Q: The simplified form of log 103 -8 is

A: Given: log1013-8

Q: find the exponential function

A: Use the excel spreadsheet to find the exponential model for the age and millage as follows, From…

Q: Is -10 the solution of log5(x+35)=2? Why or why not?

A:

Q: Use the Change of Base Formula to evaluate log14(39). (Round your answer to three decimal places.)

A:

Q: Simplify 27 log 3

A:

Q: Express as a product. - 9 log M

A: We know that                             loga xm = m × loga x

Q: Use the change based formula to compute log 4 (is at the bottom) 5. Round your answer to the nearest…

A:

Q: Evaluate the expression without using a calculator: log5 57

A: Given The expression is log5 57 .

Q: Check the result by using the related exponential form.

A: As you asked only question (3) so , I answered here only for subpart (c)

Q: Simplify the expressions

A: From the given data:

Q: For Exercise, simplify the logarithmic expression without using a calculator. 4log, 7

A:

Q: Evaluate the expression without using a calculator. log3 81

A: Given: log381

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

A: here given as

Q: Evaluate the expression without using a calculator: log7√7

A:

Q: What is the value of log, 49?

A:

Q: For Exercise, simplify the expression without using a calculator. logv 1

A:

Q: Simplify the following expression 1.log283x

A: log283x

Q: Convert to an exponential equati log, T = 7 %3D 2 O 2T = 7 %3D O 72 = T9 %3D O 7T = 2 O 27 = T?

A:

Q: What is the value of log, 16?

A:

Q: Simplify the expressions

A: log319

Q: Use the change of base formula to compute log, 4. Round your answer to the nearest thousandth.

A:

Q: Evaluate the expression without using a calculator: log31/9

A: Given:log3 19

Q: Use the Change of Base Formula to evaluate  log15(37).  (Round your answer to three decimal…

A: The change of base formula of logs means we can find the logarithm of a number using any base simply…

Q: Evaluate using the change of base formula (without a calculator).

A: To calculate the given equation

Q: For Exercise, use logb 2 = 0.356, logb 3 - 0.565, and logb 5 = 0.827 to approximate the value of the…

A: Given: Find the approximate value of logarithms. Property used: For logarithms,

Q: Use the change-of-base formula to find the approximate value. log4 x3 + log2 √x = 8

A: The logarithmic equation is: log4 x3 + log2 √x = 8 We have to solve this equation. We have, log4…

Q: In each part, find the value of x. (a) log10 x = 3 (b) log5 x = 2

A:

Q: Find the logarithm using the change of base formula. log 420

A:

Q: For Exercise, write the equation in exponential form. log 1,000,000 9-

A:

Q: Use the Change of Base Formula to evaluate log15(43). (Round your answer to three decimal places.)

A: Given,

Q: Use the Change of Base Formula to evaluate log12 27.

A: Given: y=log1227 We know that logab=log10blog10a…

Q: Evaluate the expression without using a calculator : log416

A:

Q: Complete the table by finding the appropriate logarithmic or exponential form of the equation, as in

A:

Q: Given loga(m) = 10 and loga(n) = 20, find loga(mn2)

A: Calculation:Compute the value of loga(mn2) as follows.loga(mn2) = loga(m) + loga(n2)

Q: Convert the expression to the log, x using base 10

A: Given that: log5x using base 10.

Q: Change the exponential statement to an equivalent statement involving a logarithm. 2x = 7.2

A: Given exponential function - 2x = 7.2Taking logarithm on both sides - log2x = log7.2xlog2 = log7.2…

Q: For Exercise, simplify the expression without using a calculator. logy51

A: