Rewrite the given logarithm so that all quotients are eliminated. log   x 8

Q: Choose the correct answer log log 25 is equal to 1) a) , b) 3 , c) 3x , d) none of them

A: Explanation of the answer is as follows

Q: Find the value of x. log1/2 32 = x

A:

Q: Determine whether the statement, logb(x3 + y3) = 3 logb x + 3 logb y is true or false. If the…

A: From the right side of the expression we get

Q: Determine whether the statement, If log(x + 3) = 2, then e2 = x + 3 is true or false. If the…

A: The given statement is false, because the base of log is 10.

Q: Find the logarithm. log5 25 %3D

A:

Q: Use the Laws of Logarithms to evaluate the expression. log2(25) – log2(10) – log2(10) d Heln3

A: We will solve the following.

Q: Solve for x. Give your answer as an integer or reduced fraction. log, (æ*) + log; (Va) = 10

A: First, we write using exponents and then the exponents become coefficients.

Q: Use the Laws of Logarithms to combine the given expression. (a) log2(x2 + 5) (b) log 8 + 5 log x + 3…

A: Some laws of logarithm:

Q: Use the Properties of Logarithms to condense the logarithm. Simplify if possible. (Assume the…

A: To simplify: log3(x2 − 1) − 2 log3(x − 1) by the use of Properties of Logarithms. Formula used:…

Q: Use the Laws of Logarithms to combine the given expression. (a) 4 log6(x + 2) + 4 log6(x – 2) (b)…

A:

Q: rewrite log 2(3) + log 2(5) - log 2(7) as a single logarithm

A: Logarithmic Equation:         A logarithmic equations is an equation with an expression that…

Q: Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

A:

Q: Find the exact value of each expression. (a) log2(6) – log2(15) + log2(20) (b) log3(60) – log3(18) –…

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Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. (Enter…

A: We will graph f(x)= log(x)-x2+2 using a graphing calculator and look for the x intercepts

Q: Write the expression as a logarithm of a single expression. log vx + log x- log x

A:

Q: Use the properties of logarithms to simplify log4 (4x2) for x > 0

A:

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

A: Write the expression as the logarithm of a single number.It is given that the logarithm is sum of…

Q: Use the properties of logarithms to write the logarithm in terms of log3 (2) and log (5) log 3 (10)

A: Note that: log (a×b)=log a+log b

Q: log; (x) log; (x + 7) – 2 log5((x+3)²) + 5

A:

Q: Use the properties of logarithms to solve. log b(x + 3) + log b x = log b 54

A:

Q: Rewrite in exponential form: log 5=x   Rewrite in log form: y=5x

A: Log 5 = x In exponential form : 5x = y

Q: Rewrite log_(2)(x/y^2) in terms of log(x) and log(y).

A: Use property of logarithmic

Q: Rewrite as one simplified logarithm. ln(3x) − ln(3)

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Q: Change to Exponential Functions and find the value for x log, 2, 187 = x

A:

Q: Rewrite in exponential form: log 5=x

A: The objective is to rewrite the given equation into exponential form

Q: Find the exact value of the logarithm: log3(3√3)

A:

Q: Write the logarithm without an exponent or a radical symbol. Then simplify, if possible. log e-1

A: Given:

Q: Find the integer that is represented by the following logarithmic expression.…

A: One have to use the following rulelogam-logan=logamn And the other rule is logaxy=y logax

Q: log (x/3)

A:

Q: log(x - 2) + log(x + 2)

A: Consider the given information:  To find the value of : log(x-2)+log(x+2)

Q: Use the properties of logarithms to write each expression as a single term. a. ln⁡〖(x+3)-ln⁡(x-1)…

A: According to the laws of logarithms we have: ln(a)-ln(b)=lnabln(a)+ln(b)=ln(ab)n ln(a)=ln(a)n

Q: Find the logarithm. 1 log 4 256

A: The given logarithmic expression. log41256 As we know from the logarithmic rule: logaab=b The…

Q: Find the logarithm. log 100.1= log 100.1

A:

Q: Rewrite as a single logarithm: 5 log x - 2 log y + 4 log(x – y)

A:

Q: Find the logarithm. 1 log2 16

A: To find the value of

Q: Find the logarithm. 1 log 2 16

A: Given,           log2116

Q: express the numbers in terms of natural logarithms. coth-1 (5/4)

A: express the numbers in terms of natural logarithms. coth-1 (5/4)

Q: Condense the expression to the logarithm of a single quantity. log3 y + log3 x

A:

Q: If log, 4 = 0.4 , evaluate log, VĀ. **If your answer does not come out evenly, round to TWO decimal…

A:

Q: Given that log(2) ≈ 0.3010, find the value of the logarithm. log(√2)

A: Given query is to find the value of logarithm.

Q: Change the exponential statement to an equivalent statement involving a logarithm. 8.6 = 9X .....…

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Q: Find the value of x, if log(x+5)+log(x-5)=4log2+2log3

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Q: Evaluate the logarithm. log1/3 27 O -3 O 9 O 3 -/3

A: Consider

Q: find the common logarithm without using your calculator. log  1 100000

A:

Q: 1. Rewrite log(100) = x as an equivalent exponential equation. 2. Rewrite 4* = 64 as an equivalent…

A: 1  log100 = x equivalent exponential function  for exponential function we take both side…

Q: Solve for x. (See attached photo)

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Q: Expand as much as possible or condense into a single logarithm. Then simplify. V10x log (x² – 4)(x +…

A: Given query is to expand the expression.

Q: Solve the log equation. Be sure to check your solutions. log 5(x+ 7)+ log 5(x + 3) = 1

A: