a. Find the solution set for log3 2+2.log, x = log3(7x-3)

Q: Given that logx = -2 and logy = 3 then simplified value of log(x7 * y³) is 29 -5 32 15 None of these

A: Given: logx = -2 and logy=3 To evaluate: logx7×y3 We know the following logarithm properties logmn=…

Q: x] is a O log 2

A:

Q: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

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

A:

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

A: Using definition & rules of logarithm.

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

A:

Q: -3 7) log4 x = 2

A:

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

A: The answer is found in step-2

Q: Hw/ Selve: O log(x)+log (a-) = log (8K-1a)-legL2) Anyx,3 An s/K=3

A: Here we have to solve ,  a) log(x)+log(x-1)=log(8x-12)-log(2)b) 2ln(x)=ln(3)+ln(6-x)

Q: 4. Find all the values of z for which each equation holds. (a) Log(z – 1) = -i. (b) exp(z+1) =…

A:

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

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

A:

Q: 3. Solve the following equations for x: (a) 3*4*+2 = 8 (d) log₂x = 2 (b) 3 lnx + 2 ln x² = 6 (e)…

A:

Q: at any point h (1, 1) is logx – x

A:

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: s (x+1) log(x+1)

A:

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

A: See the details solution in below

Q: A Solve the following (i) 4+e2x = 12 %3D (ii) 3 log (x+4) = -2.2

A: The given equations are I) 4 + e2x =12 II) 3 log(x +4) = - 2.2

Q: Solve the following: . Find the solution set for log3 2+2.log, x= log3(7x-3)

A:

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: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: Given that y = log, 11 and 64 %3D x = log 2, what is logp expressed in terms of x and y? a. 2х-бу b.…

A: We are given that y=logb11 and x=logb2. We need to find what is logb64121 in terms of x and y. Now,…

Q: Solve the following equation for x: log3(ln(x)) = 2.

A:

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

A:

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

A:

Q: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: Solve the following equation for X log(x+2) + log(x-1)= 1

A:

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 =-…

A:

Q: 4. Which of the following functions grow faster than x2 as x→∞? Which grow at the same rate as x²?…

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

A:

Q: 9

A: We need to solve

Q: Q1:B. Find the solution for x: log (væ+1+1) 3 log Vr – 40

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: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

A:

Q: The value of x for: log. (e) +4g(9 =x'log(10) is:

A:

Q: (a) Solve the following: -1 (i) 2*-6 8 (ii) log, (x+3) = 1– log, (x-1)

A: An equation is a formula that provides the equality of two expressions, by connecting them with the…

Q: Find x,where l

A:

Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

A: Rules:x intercept(s): is (are) the point(s) where the graph crosses the x-axis. In order to find the…

Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: 7. Find y'. y = log, (9– x-x)

A:

Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

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Q: Find the value(s) of x for which the equation is true. log(x + 2) = log(x) + log(2) X =

A:

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: 4. Solve for x , show all work and round off to three decimal places if necessary. a) log 83 = x b)…

A: b) The given equation is log3y=1.69 Use the base theorem, logab=ln bln a. 1.69=ln yln 3ln y=1.69· ln…