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

Q: What is the base of the following logarithmic function: h(x) = In(x) 2 T 10

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Q: snipped

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Q: Express the following logarithms in terms of ln 2 and ln 3.a. ln 0.75                 b. ln (4/9)

A: (a) ln 0.75 = ln (3/4) = ln 3 - ln 4 = ln 3 - ln 22 = ln 3 - 2 ln 2 Hence the answer.

Q: Find the exact value of the logarithm without using a calculator 11 In 'Ve In 'Ve =(Type an integer…

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Q: If the graph of a logarithmic function f(x) = loga x, wherea > 0 and a ≠ 1, is increasing, then…

A: Since in logarithmic function value should be positive. Therefore, in fx=logax the value of x must…

Q: 1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In the given question as follows,, write the expression as a logarithm of a single quantity:-   4 ln…

A: Here given expression  4 ln 2-12lnx3+6x

Q: The value of x in the logarithm equation In e2z+1 = 10 is O 18.25 O 2.05 O 25.05 O 4.50 O 10.75

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

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Q: (5) =7. Find the following: loga g) loga (1,000, 000, 000)

A: Given: loga2=3 and loga5=7 To find loga1,000,000,000

Q: 10. Use the properties of logarithms to condense the expression 2log(x + 3) + log(x –12) to a…

A: To condense the below logarithmic expression in a single quantity. 2logx+3+logx−12

Q: Pls help

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Q: 8. Use the properties of logarithms to expand the following into a sum or difference of logarithms.…

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Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 1. Express as a single logarithms and if possible simplify. loga 75 + loga 2 ½ log n+ 3 log m

A: We can solve the two subparts as below.

Q: Condense the expression to the logarithm of a single quantity. 3 In(4) 8 In(z - 6)

A: Solution-

Q: In the given question , use the properties of logarithms to expand the logarithmic expression.…

A: According to the logarithmic product rule log pq=log p+log q. Use the product rule of logarithm to…

Q: 8. Condense the expression 4ln(c)+ In(d) + : In(a) + ŞIn(b+3)t to a single logarithm.

A: please see the explanation below

Q: Given that log(3) - 0.4771 and log(2) - 0.3010, find the value of the logarithm. 3. log

A: log 3 =0.4771 log 2 =0.3010 logmn= log m - log n

Q: Express the following logarithms in terms of ln 2 and ln 3

A: Given logarithmic expression is ln3x2-9x+ln13x. To express the given logarithmic expression in terms…

Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

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Q: 2. The expression log(3 + x) is undefined for what values of x?

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Q: What is the solution to the following equation? log(x - 9) - log(x + 3) = log(x - 8)- log(x+ 2)

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Q: log 10 = 1 110 = 1 10' = 10 1010 = 1 110 = 10

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Q: Find the solution of the exponential equation e+1 in terms of logarithms, or correct to four decimal…

A: Given equation is e2x+1=32Apply ln on both sides we get: ln( e2x+1)=ln(32)

Q: Express the following as a sum, difference, or multiple of logarithms. log 2 a

A:

Q: The change-of-base formula states that logb x can be written as a ratio of logarithms with base a as…

A: Change of base formula:

Q: Which shows the expression In 4 - 2ln x written as a single logarithm.

A: Given expression is 12ln 4 - 2 ln x write it in single logarithm

Q: 6. Find x if the base 7 log of 126 is equal to x.

A: logab = log b / log a

Q: The value of x in the logarithm equation In e+4 = 10 is %3D O 6.17 O 0.37 O 15.70 O 11.17 O 2.00

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Q: 18) Use the properties of logarithms to rewrite as the logarithm of a single quantity. a. 4 In a +3…

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Q: Find the Value of x in the Logarithmic Functions : log; (x2 + 16x +1) = 4 %3D

A: We will apply antilog on both sides to solve this equation

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: c) In(4t*) –…

A: To simplify12ln(4t4)-ln2

Q: What is the value (if any) of the following? log x as x--> 0+  log x-->

A: We first graph y=log x

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: b) In(3x² –…

A: ln3x2-9x+ln13x

Q: E. Sketch the graph of the following logarithmic functions. 3. f (x ) = In(2r + 4)

A:

Q: Condense the expression to the logarithm of a single quantity. 6 In(2) – 3 In(z - 9)

A: Logarithmic Rules: logbMk=k logbM logbMN=logbM-logbN   6 log2-3logz-9 = log26-log(z-9)3 6…

Q: Calculate the given natural logarithm without using your calculator ln(1)

A: 1 can be written as e^0

Q: 13. Combine the following into a single logarithm Inz- 3 In (z + 4) + In (y)) 112

A: Follow the steps.

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

Q: A person places $7320 in an investment account earning an annual rate of 8.2%, compounded…

A: Put P=7320, r=0.082 and t=12 in equation     V = Pert

Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: log, 81 = 4 O 34 = 81 O 43 = 81 O 813 = 4 814 = 3

A: The given logarithmic function is, log381=4 To express the given logarithmic equation to exponential…

Q: Consider the following. el - 3x = 8 (a) Find the exact solution of the exponential equation in terms…

A: Given e1-3x=8

Q: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

A: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

Q: Consider the following. 4* + 21 + 2x = 40 (a) Find the exact solution of the exponential equation in…

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Q: Given log b 2 equals A and Log b 3 equals B, what is the value of log b 4/3

A: It is given that logb2 = A and logb3 = B.Obtain the value of logb (4/3) as follows.

Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: Consider the following. 10 X = 169 (a) Find the exact solution of the exponential equation in terms…

A: We have to find x