d Find dr (6 log,(x) + 18)

Q: Given that log x= 4 and log y = 1.5 , find the value of log (x²y)

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Q: Differentiate. a) y=log2(3x) b) f(x)= -7 log(x2) c) g(x)= x6log(-4x) d) h(x)= log8(2x4-3x)

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

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

Q: Solve for x in log,(x+1) + log4(x – 1) = log4 15 . A. x= 5 В. х3 4 C. x= 14 D. x= 3 or x = 1

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Q: Find the solution for x: log (Vz+1+1) log V- 40 -3

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Q: -3 7) log4 x = 2

A:

Q: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: 2. Given that x> 0, the value of x for which log, x + log,(6x + 1'0) = 1 is D

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Q: 9⋅7x=3.5e^(2x) Find x using natural log

A: Given exponential equation is:Solve for x using natural log.

Q: Find the solution set for log3 2+2.log, x=|

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Q: If logy =c- log,x, where y> 0 andx > 0, then y is equal to A. c-X В. 3 D. C.

A: To solve the given logarithm

Q: Solve for r: log(z) + log(z + 4) = 5

A:

Q: x² 6 + ,X log (x² + 7)(x³ – 5)² -

A: Laws of Logarithm:

Q: Find the solution for x: log (vz+1+1) log Vz- 40

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

A:

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

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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: Rearrange this equation to isolate A. H = K + log () A =

A: we have to rearrange the equation to isolate A

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is logax3wy2z4

Q: Given that logp q = x 2 and logq p = 1 2x−1 , find x

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Q: (b) 2log(x – 3) – log(x – 1) = 0

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Q: Differentiate f (x) = loge (x26")

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Q: (b) 8[log(2-j3)]e

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

A: Consider the function

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

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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Q: Differentiate (a) f(x) = 43 x and (b) f(x) = log2(x 2 + 1).

A: We have to differentiate the given function    the given function is    (a) f(x) = 43x   (b) f(x)…

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: B. Convert to an exponential equation. 1. log, T =x 2. t= log, 7 3. In 0.38 =- 0.9676 5. log 0.01 =-…

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Q: log, x+ 2) <0

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Q: Given 2 log3(x + y) = 2 + log3x + log3 y, show that x² + y² = 7xy.

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Q: log (x³y¹z) = b

A:

Q: Q3. (i) Solve for x: a. 32x = 22x-4 b. Vlog2(x – 8) + log2(x + 8) = 64 %3D

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

Q: log, x + log, y+ 6log, -

A: Using Rule's of Logarithm

Q: dz Solve dx log (log 2)². z =

A:

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: The solution of the equation Log(z² – 1) = in is

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Q: Find the domain of the function. x+4 h(x) = log ɛ %3D

A: We have to find the domain of the function h(x) = log8x+4x.

Q: (b) Find the value of x: log ; x - log ; Vx = log 9- log ; 3

A: Basic concepts: remember these properties:

Q: 7. Find y'. y = log, (9– x-x)

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Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

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Q: Rearrange this equation to isolate A. H = K + log A =

A: Here I am attaching image so that you understand each and every step.

Q: In the equationf (x) = e* In(11x) – e**+* + log(e6x*), find f '(3). %| -

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Q: a) f (x) = 7x log 3x b) f (x) = 3*

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Q: Solve the following equation for x. log(4x+170) = 2

A: