Convert the exponential equations into logarithmic form: (a) 32 = 9 is equivalent to log, C = D. and D = C = (b) 125 = 53 is equivalent to log, E = F. and F = E (c) 102 = 100 is equivalent to log10 G = H. G = and H = (d) 0.01 = 10-2 is equivalent to log10 J = K. J = and K =

Q: Solve the Logarithmic Equation 5 log, x = 4 by following the steps below.

A: Give logarithmic equation : 5 log2x=4

Q: express the equation in exponential form  a)log3 (9)=2 b) log3 (1)=0 c)log8 (2)=1/3 d)log5…

A: Given query is to express the equation in exponential form

Q: Express the equation in logarithmic form: (a) e" = 3 is equivalent to In A = B. Then %3D and

A: (a) Given expression. ex=3

Q: Find the solution of the exponential equation 2z +1 - 49 e41 %3D in terms of logarithms, or correct…

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Q: 2. Solve the equation 2 + 34-5x = 10 in terms of logarithms and then use a calculator to find…

A: We will use logarithms to solve this question.

Q: Solve for x by converting the logarithm equation log1\7 (x)=2 to exponential form.

A: We have the formula, loga(b)=m, then b=am

Q: Find a formula for the exponential equation passing through the points: (0,3) and (1,12) y =

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Q: 1. Explain the process to solve the equation log, 5 + log,(x - 3) = 4.

A: To solve the equation,  (logb 5) + (logb (x - 3)) = 4 Identity :  (loga M)+ (loga N) = loga MN

Q: Use the definition of a logarithm to solve the equation. 10 − 3 ln(6 − 9x) = 7

A: Given:

Q: How is log 763 written in terms of natural logarithms using the change-of-base theorem? The formula…

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Q: 2) Match the logarithmic expressions to equivalent expressions and state the property or process to…

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Q: .If log, [log3 (log2a)] = 1, then x is equal to = ?

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Q: Express the following equation in logarithmic form. 10 2= = 0.01 %3D - 2 The exponential equation 10…

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Q: Find the solution of the exponential equation 10-i = 5 in terms of logarithms, or correct to four…

A: Given exponential equation is10-x2 =5find the solution of the equation interms of logarithms

Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

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Q: Express the equation in logarithmic form. (a) e+-0.4 (b) 0.3x-t

A: To express the given equation in logarithmic form: a) ex+3 = 0.4 b) e0.3x=t

Q: Find a formula for the exponential function passing through the points (-1,5252) and (2,20) y= ?

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Q: Solve for x. - 4x 16 = 13*-2 Write the exact answer using either base-10 or base-e logarithms.

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Q: Solve the logarithmic equation for x. In( x - 1/2) + In 2= 2 In x

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Q: Express in logarithmic form for the base. ab= N

A: Given, ab=N Aim: express in logarithmic form

Q: Find the solution of the exponential equation 1000(1.04) = 500, 000 in terms of logarithms, or…

A: given 10001.042t=500,000

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given : ln 2 = aln 3 = b

Q: Solve the logarithmic equation for x. log,(9 – x) = 2 - log,(-x) 3D2 6

A: We need to solve for x.

Q: Find a formula for the exponential function passing through the points (-1, 1/2) and (2, 32).y =

A: Let the function is y=a(bx) Given, it passes through (-1, 1/2) and (2, 32).

Q: Solve the logarithmic equation: log , (10 – 2x) – log , (x + 3) = 1.

A:

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given ln 2 = a and ln 3 = b.To find ln 27 in terms of a and bFormula:log ab=b log a

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: It is given that ln 2 = a and ln 3 = b

Q: Write the logarithmic equation (a+ 4) = (log 18b3 – log(ln e2b)) in exponential form

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Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

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Q: Express the equation in exponential form. (a)    log9(3) = 1/2

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Q: Express the equation in exponential form. (a) log27(3) 3 (b) log10(0.001) = -3

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Q: Solve the logarithmic equation for x. log(9 – x) = 2 – log,(-x) 3D2

A: To solve the given logarithmic equation for x.

Q: Convert the exponential equation 6ª 8 into the corresponding logarithmic equation.

A: Topic- Equation

Q: log, (1- x) = 4

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Q: Choose the logarithmic form of the exponential equation 4° = (5x +4). O log, (5æ + 4) = 9 O log, (5x…

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Q: Solve the logarithmic equation for x. log9(x - 5) + log9(x + 3) = 1

A: Given equation: log9(x - 5) + log9(x + 3) = 1 The objective is to find the value of 'x'.

Q: Convert the exponential equations into logarithmic form:

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find a formula for the exponential function passing through the points (-1, 5252) and (3, 40).y =

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Q: Write the logarithmic expression as a single logarithm with coefficient 1,

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Q: . If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential…

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Q: Solve 2*+3 7* %3D using natural logarithm and also using base 10. Jus tify your answer

A: The given equation is; 2x+3 = 7x

Q: 2. Can log:(-4) be solved? If yes,

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Q: Solve the Logarithms Equation. logtan nx (2 + 4 cos 2nx) = 2

A: The given logarithms equation is  logtan nx(2 + 4cos2nx) = 2

Q: Solve for x by converting the logarithmic equation to exponential form. log64(x) = X =

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Q: Convert the exponential equation 7 = x into a logarithmic equation in the form log, r y

A: Given exponential function :79=x

Q: Solve the logarithmic equation for x. log,(x + 3) - log,(x-3) - 2

A: