1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

Q: log(-x) +log(2 – x) = log( 3)

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 1. logx = 2 %3D 2.ln(x + 1) = 5

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Q: log x= log (x - 1) + 1

A: To solve the problem, just I have used the following properties of the log  function and solve the…

Q: K Differentiate. g(x) = log 41 (2x - 5) g'(x) = Question 2 of 5

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Q: Solve the following: 3 log () – (3 +0) = log(10m³n) %3D |

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

Q: 25łn²(x) log (x) dx

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Q: 1 6. Change from logarithmic form to exponential form y = ab*. y 108. (-x log, = 2 y = 2.7* y-(2) =…

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Q: . Given x = 22 log3 (9) , what goes in the blank of y

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Q: Express 9ln x + ln y −7ln (−z) as a single logarithm for x, y > 0 and z < 0

A: The objective of this question is to simplify the given expression of multiple logarithms into a…

Q: Differentiate y = log 10 (x² + 1)² A. 4x (x²+1) B. 4xlog₁0 x² +1 log e(x)(x + 1) D. 2x(x + 1) C.…

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Q: O Solve. 2 – log7(x) = log7(x – 48) 4.

A: Add log7(x) to both sides then use the multiplication rule of logarithm

Q: log(x? - 2) + 2 log 6 = log 6x %3D

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Q: Find fx) if fx) = logX-5 %3D x4-3

A: f'(x)=?

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: 5 If logioC = y, then A C = 10y B C= 10 C = y10 10 D

A: we have to find C from the given equation

Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: - If 2ª = 5 and 2b = 3 what is the value of log₂ (75) in terms of a and b?

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Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

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Q: Suppose log. (2) = 3 and log.(5) = 7. Find the following: %3D

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Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: 24. Combine the expressions by writing them as a logarithm of a single exprossion. (a) Hoga ( + 1)…

A: Given expression is: (1/3) . log_5 (x + 1) + (1/3) . log_5 (x - 1) = (1/3) . [log_5 (x + 1) + log_5…

Q: If y = loge (2x + 1)'/2 ? and x = 1 y'will be equal to Select one: O a. 1.3

A: The given function is y=loge 2x+112. Obtain the derivative as follows. dydx=ddxloge 2x+112=ddx12loge…

Q: 1. ₂ F₁ (1,2;3; x) = log{e(1-x) {/ 2 x

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Q: Find the derivative of the function. y= log , (3x2 - 2x) 5/2 O A. In 9(3x- 1) (3x2 - 2х) OB. 10(3x –…

A: We need to apply 1.chain rule 2.differentiation of logarithmic   we get option c as correct answer

Q: If log, æ = 0.63, log, y = 1.46, and log, z = 1.77, loga

A: As we know that, The logarithmic properties: 1). logaxb=b·logax 2). logaxy=logax+logay 2).…

Q: Find dy/dx y = x 2/ (1+log x)

A: In general logx is considered as so find the derivative accordingily

Q: What is h′(x) when h(x)=log 7 (8x+4 / x 6 7 x)?

A: Consider the function

Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

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