b.y = Arctan 2 (x³)

Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

Q: (log3 (x² + 5)) = %3D dz

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Q: What is the family of the equation y = log,(x) O quadratic linear O logarithmic Fill in the table of…

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Q: Only part D! Thank you.

A: Proceed as shown...

Q: log(x³) dx

A: Consider the integral: ∫logx3xdx…

Q: 3. Algebraically rewrite the following equation using properties of logarithms and inverse…

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Q: Solve for r: log(z) + log(x + 2) = 9 You may enter the exact value or round to 4 decimal places.

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Q: log3(x) dx

A: Given integral is ∫ 3x2+log3xdx. Consider u= 3x2.

Q: 7. If (0.2)* = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

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Q: The logarithmic parent function y = log (x) has been transformed. What is the equation of the new…

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Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: (6) Solve the following logarithmic equation: log (50 x + 25)- log (x) = 2

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Q: Find and simplify whenever possible. dx y = log10(x² + 1)² ||

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Q: 4. For what value of a are the graphs of y Recall that loga a and y loga tangent to In zYou should…

A: Here y = ax and the other graph loga x are inverse of each other. First find their point of…

Q: Solve for x. Round your answers to two decimal places, necessary. if a) log = x 10 b) log x = -2 =…

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Q: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

Q: [32x + log (x) dx = %3D

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Q: C. Logarithmic on one side 6. log, x+log,2(x-3)=2 D. Logarithmic on both sides. 7. In(3x+8) =…

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Q: ( 3x+log; x dx = ? ||

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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: Find the solution of the exponential equation 15e^x−13=6 in terms of logarithms, or correct to four…

A: We have to solve

Q: S (log æ + – 5x) dx =?

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Q: True or False If y= logax , then y=ax.

A: The given statement is y=logax , then y=ax.we have to find it is true or false.

Q: Consider the following. 5x = 4x + 1 (a) Find the exact solution of the exponential equation in terms…

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Q: Solve graphically with your calculator. Round answers to 2 decimal places. а.) 4* = VE b.) log r =…

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Q: d (log4 Vsin x) dx

A: We have to find dlog4sinxdx.

Q: express the following as a single logarithm ln x+ a ln y - b ln z

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Q: 1) lag is equal to logizs b)3, c) 3x .d) none of them

A: Solution: log5xlog125x=log5xlog53x we know, logbna=1nlogba hence  log53x=13log5x hence…

Q: D. Solve for the following logarithmic equations 1. Inx = -3 2. 2logx = log 2 + log(3r 4) 3. logs(x…

A: As per our guidelines we are supposed to answer only first three sub parts of the question. Kindly…

Q: 11 2 log a dx aV6 log r- loga

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Q: 9. Solve the logarithmic equation 3+log(2x+5)=2.

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Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in…

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential…

Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

Q: tan 2x y = 1-cot 2x

A: Given y= tan(2x)/(1-cot 2x).

Q: 1-coth² (log₂x) dx x cosh(log₂x) 1. 11/20

A: We have to find the integral.

Q: 2. 2 log x – 1 = log(x-1)

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Q: After examining the graphs of several logarithmic functions, you should see that there are…

A: Solution

Q: If y = loge(sin x)? dx will be equal to dy

A: Given: y=logesinx. To find: dxdy Solution: Chain rule of differentiation states that:…

Q: log/ yx-y+3 1-4xt y 4X - log 3 4x ニ

A: Graph

Q: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

Q: 19. Evaluate a) S. dx, leaving your answer in terms of natural logarithms, (x+2)(x+3) b) evaluate…

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Q: Consider the following. 4x/12 = 0.9 E (a) Find the exact solution of the exponential equation in…

A: We have to solve

Q: 0/= log10 (x) dx

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Q: 4. y = log(x² – 7) 5. y = ln х+2 x-3 31

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Q: Solve the logarithmic equation for t. ln(at + b) = c if a ≠ 0

A: To solve the given logarithmic equation.

Q: 1. Given y= log 256. The value of y=

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: For which value of x is the equation true? 10* = 2e %3D 1+ln 2 In 10 In 10 O 1+log2

A: Given, The equation  10x = 2e  We have to find the value of x for which the equation is true.

Q: ® Hing logari thia diffen tiatin, de tormine dy dx y= [at) (xts) Ca5) (x-1)

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

Q: log3 (x°. VY16)

A: Given,         log3x9y163