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

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

A: Answer and explanation is given below

Q: Number 3.  Solve the following equations for x: (a). 82x = 2x + 5 (b). log4 (7x + 1) = 3

A:

Q: express the equation in exponential form  a)log3 (9)=2 b) log3 (1)=0 c)log8 (2)=1/3 d)log5…

A: Given query is to express the equation in exponential form

Q: 2. Solve the logarithmic equation (g) In r = 1 (h) log3 (20x + 31) = 4 (i) log;(449 – 7x) = 3 |

A: Solve the following

Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

Q: Q2: Solve the Logarithms Equation. logtan nz (2 + 4 cos ?nx) = 2

A:

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

A: Logarithmic properties.

Q: d (4 log4(x) + 13) dx Find

A: Given, ddx4log4x+13  We have to find the derivative.

Q: solve the following logarthemic equation. log4(x+74) + log4(x+11)=3

A: Given,         log4x+74+log4x+11=3

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 the following: (i) 2ᵡ-⁶ = ⅛   (ii)  log₅ (x + 3) =1− log₅ (x -1)

A:

Q: Algebraically solve the following equation for x. log2(x + 2) = 2 − log2(x − 1)

A: To solve the below equation for x

Q: Solve the following equation using the corresponding properties: log3 (5x + 7) = 2

A: I have written the used property in the side of solution step and easily find the required solution.

Q: Solve the following equation: log3(3x) = log3 3 + log3(4x − 1).

A: To solve the below equation

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

A: Simplify logarithmic equation

Q: Given the following equations, find x log(x – 3) = 3 b. In(x - 2) = 5 – In(2x + 1) c. log2 ) = 3 +…

A:

Q: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

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

A: We have to solve

Q: Q2: B. Solve the following equation and find x ? log4(2x + 6) – log4(x – 1) = 1

A:

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

A: we have to rearrange the equation to isolate A

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

A:

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

A:

Q: Find the solution of the equation, correct to two decimal places. log2(x+2) + log2(x−1)= 2

A: We gonna use log properties to sole this problem log m + log n = log mn  loga x = y  => x = ay

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

A:

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

A:

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

A:

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: Solve the following logarithmic equation. log 3(x+ 10) + log 3 (x+ 18)= 2

A:

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: using

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: given log y+3 log(x+2): REWRITE as a single log

A:

Q: solve the following  i).  2x/2-16 = 1/3   II). log8 (x-2) + log8 (x)=1

A:

Q: 4. Solve the following equation: a. e* + e-* = 2 b. 2 log () – 3 = log(10x²y) %3D

A:

Q: log, x = 2

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

Q: Solve the following logarithmic equation:  log2(x − 2) + log2(x + 1) = 2

A: Given,

Q: Solve the following equation: Show all steps log(2x – 3) – log3 9 = – log x

A:

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: 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: Solve the following equations log(x + 6) – log(x – 3) = 1 10* = 12

A: logx+6-logx-3=1

Q: 2. Solve the following equation for r. log2(2.r + 3) – logz(r + 4) = 2

A: Use the properties of logarithm to solve this problem.

Q: Solve the equation for x .   a) ln( x + 1) + ln( x - 1) = 1  b) log5(c x)= d

A: Part (a) - lnx+1+lnx-1 = 1lnx+1x-1 = 1                                  lnab = lna+lnblnx2-1 = 1…

Q: 1. Solve the following equation. a) 32x+1 – 28(3*) + 9 = 0 b) log(x – 4) + 2 log 3 = 1+ log c) x(x +…

A: We have to solve given Equation.

Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…

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

A:

Q: Please solve the following equations: (a) ln(25(1.05)x)=6 (b) log(1 − x) − log(1 + x)=2

A: Part (a)