Given that log, x + 2 log4 y = 4, show that xy = 16. Hence solve for x and y in the simultaneous equations log10(x + y) = 1 log2 x + 2 log4 y = 4.

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

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Q: Solve the following equation: log7(3x) = log7 3 + log7(6x – 1). X =

A: Answer and explanation is given below

Q: Given log2(4x −4) = −2 how do I solve for x?

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Q: Given that log x -3 and log y = 5, find log Vy.

A: The given expression is logx2y35 and logx=3   and   logy=5

Q: Given log3 2 = m and log3 5 = n , express in terms of m and/or n.  a) log20 450

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Q: Given that ln(5) = x and ln(7) = y, express the given logarithmic value in terms of x and y.…

A: Given that ln(5) = x and ln(7) = y. Use the property of the ln function

Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

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Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: Solve the following: 2x-6 = 1            8   log5 (x+3)=1-log5 (x-1)

A: Using definition & rules of logarithm.

Q: Solve for x: log (x + 3) + log x = 1. Show that the above equation will have an irrational root if…

A: Solution: To find value of x, log2(x+3)+log2(x)=1log2((x+3)(x))=1   (property of logrithm…

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: Express the solution in exact form. log 4(x - 5) + log 4 (X – 5) = 1 O A. {7} О в. {-26, 26) O c.…

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

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Q: Solve the following equation: 2logx - log3 = 2 9√/3.7 O-11√2 10√3 O-10√/3.1

A: We can solve the given function.

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: Find the root of the equation x log10X=4.77by newton-Raphson method, correct to two decimal places.

A: The root of the transcendental equation f(x)=0 is defined as the value of x that satisfy the…

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

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Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: The solution to log3(2x − 1) = 4 is: STEPS PLEASE

A: Properties of Logarithm: Given function is: Rewriting given function:

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

Q: Given that, Log2 x + 2log4 y = 4 show that xy = 16 Hence solve for the simultaneous equations:…

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

A: See the details solution in below

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

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Q: If log2(3x +7) = 4 then x = ?

A: Given problem is :

Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

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Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

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

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Q: (b) Solve log (4x) —log 3 = log(x+4) for x.

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Q: Solve the following equations. log, (2.x – 3) = 3 4 In(3.x) = 8 log x = log(1-x)

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Q: Solve the equation exactly for x. log (6x + 31) · log(25x²) = 0 Enter your answers in increasing…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: solve the following equation log2 (5Vx – 5) + log2(v – 1) = 3

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

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Q: log2(4x+8)=5

A: We will solve given equation in this question.

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: How would you solve log(2x-9)=log(x+1)+log 3

A: We know that , log ( a ) - log ( b ) = log ( a / b )   And If log ( a ) = log ( b ) Then a = b

Q: Solve the equation for s. log (4 + r) = log (3s - 2)

A: Given- log (4 + r) = log (3s - 2) To find:- Solve the equation for s.

Q: Solve the following equation for x:  log(x+1) + log(x+3) = log (x+7)

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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: What is the simplified form of 4 * log_3(y) - 6 * log_3(x) + 7 * log_3(z) ?

A: Find the simplified form

Q: The equation log(x+3)+log(x-2)=log(7) solutions are x=-5,1 true or false?

A: We know that , log ( a • b ) = log ( a ) + log ( b )

Q: solve the following equation. log2(5Vx – 5) + log2(Vx – 1) = 3

A: Given that:   log2(5x-5)+log2(x-1)=3

Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

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Q: Solve the following equation for x. log;(3x+ 2)+ log;(2x + 1) = 2. 1) -2.6263 2) -0.4975 3) 1.4596

A: The given equation is log53x+2+log52x+1=2. The following rules of logarithms are used in solving the…

Q: f(x) = 3x + log(9x − 8), find f(2). f(2) = ?

A: Given a function f(x) , need to find f(2).

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

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