Write the expression as a sum of multiples of logarithms. Assume that variables represent positive numbers. log x°(x + 3) 9, .....

Q: Change this exponential statement into a equivalent statement involving a logarithm: a2=1.6

A: Calculation:The exponential statement is a² = 1.6.Multiply both sides by the logarithm base a to the…

Q: Condense the expression to a single logarithm using the properties of logarithms. log (x) - log (y)…

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Q: Evaluate the expression without using a calculator.

A: To evaluate the expression without using calculator: log381 Solution: We know that, logmn=nlogm and…

Q: Rewrite the expression log x + 5 log y – 5 log z as a single logarithm log A. Then the function А —

A: Rewrite the expression  logx+ 5logy-5logz  as a single logarithm logA . Then the function A = ?

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A: using log(mn)=log m-log nhere m=3zand n=11

Q: Write the expression as a single logarithm. Express powers as factors. log 5 Vx - log sx .4

A: a=a12log am=m log (a)log a - log b= log ab

Q: Write the logarithmic expression as a single logarithm with a coefficient of 1. 6 log7 a + log7 2 -…

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Q: Evaluate the expression without using a calculator. log 2 ( log 33)

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Q: Convert 6x = y to an equivalent statement involving a logarithm.

A: Given, 6x = y Aim to convert into equivalent statement involving a logarithm.

Q: Use the change-of-base formula to rewrite the expression log; 2 in terms of the natural logarithm In…

A: I have appended the formula used in the solution part.

Q: Condense the expression to a single logarithm using the properties of logarithms. log(x) -…

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Q: Write the expression as a single logarithm with a coefficient of 1. Assume all variable expressions…

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Q: following

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: We have the definition of logarithm as follows: For x>0   and b>0, b not equal to 1 y= logbx…

Q: write the following expression as a sum or difference of logarithms with no exponents. Simplify. log…

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Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) a. log,…

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Q: What is the value of x if log, √x-1=2? O 82 65 O 19 0-8

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Q: Evaluate using your calculator, giving at least 3 decimal places: log(210) =

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Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

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Q: Give the translations that transformed the parent function into ?=log5(?−10)+8

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Q: Rewrite the equation in logarithmic form. Assume that all constants are positive and not equal to 1.…

A: The equation is given by 10r = m                                          ........(1) To evaluate :…

Q: Write the following as the sum and/or difference of logarithms, with no products or quotients.…

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Q: Use the properties of logarithms to write the expressions in Exercis

A: Logarithmic functions and exponential functions are considered as the inverses of each other as one…

Q: For Exercise, simplify the logarithmic expression without using a calculator. log2 64

A: Given :Log2164

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are 10x log 6.

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Q: Write the following expression as a sum or a difference of simplified logarithms or numbers. 2+1 log…

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Q: Condense the expression to a single logarithm using the properties of logarithms. log (x) – log (y)…

A: Given,            logx-12logy+7logz

Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

A: Solution: The objective is to find the value of x

Q: Which of the following is equivalent to the expression log

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Q: 3. x²+1 log(- x2-1

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Q: Write the expression as a single logarithm: x - [ log x + log( x² + 1) + log( x* + 2)]

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

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Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A: Given : loga8b63

Q: Evaluate the expression without using a calculator. log 2 (log 55)

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Q: Evaluate the expression without using a calculator. 1 log 5 25

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Q: Evaluate the expression without using a calculator: log41

A: To evaluate the expression log41.

Q: Evaluate the expression without using a calculator. 1 log 22 log 22 II

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

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Q: Recall the change-of-base formula. log,(x) log,(a) log,(x) =

A: Explanation and solutions is given below....

Q: Change the exponential statement to an equivalent statement involving a logarithm. a2 =1.6

A: a2=1.6We know that a logarithmic equation is used to rewrite an exponential equation.And such type…

Q: ( 1 37. log4 10

A: Solution: Given that log4110

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Logarithm function is defined as, For x>0, a>0, a not equal to 1, if and only if,

Q: Write the expression as a single logarithm. 8 log a – 6 log r = log( Pre

A: given log is                                  8loga-6logx we have to convert it as single logarithm…

Q: 3 log2(x Vx + 4)

A: we have given that the functionlog2xx+43

Q: et – e-x ex + e¬x 2 |I

A: To find the solution of the below equation. ex-e-xex+e-x=12

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

A: 6log2a-4log2b+23log2c

Q: Write the expression as a single logarithm. 1 log3 z+7log3y 3 log; x- 5

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Q: Write the expression as a single logarithm. 1 3 log.y- log, z+5 log.x 4

A: We know that logax+logay=loga(x*y)logax-logay=loga(xy)mlogax=logaxmGiven…

Q: 2 log, (m) + 3 log, (п)

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