Solve the 1) log3(2x - 1) + log3(x+ 4) = log; 5 2) log2(3x + 5) - log2(x-5) 3 following equations

Q: IV. Solve the following equations. 9. 8. 14-2x-5 + 2 = 34 10. log, (6 – 4n) = log6(3 – n) - 1+x 11.…

A: As per bartleby expert policy only first individual question is to be answered. Kindly repost…

Q: Express th equation in exponential form.

A: To express the equation in exponential form.

Q: 2. Solve log, x + log2(x – 3) = 2

A: Given:  log2x+log2x-3=2We know that      logmA+logmB=logmA×BThen   log2x+log2x-3=2…

Q: 2. Solve the equation 2 + 34-5x = 10 in terms of logarithms and then use a calculator to find…

A: We will use logarithms to solve this question.

Q: 1. Solve the following equations a. 4x + 3 = 210 b. 7x - 1 = 3 c. log(8x -15) - log3 = log(2x +…

A: Part a,Given,          4x+3=210

Q: The solution to log₃(log₂x) = 1 , is:   A. x=4 B. x=8 C. x=1 D. x=2

A: Formula: If logab =c  Then b=ac

Q: Find a formula for the exponential equation passing through the points: (0,3) and (1,12) y =

A:

Q: Solve for x: log3x + log3 (x-8) = 2 + 8log51 and 2x - 15 is a.) -4  b.) 3  c.) 2  d.) 5  e.) 8

A: To solve

Q: Solve algebraically.  a. 32x+1 - 10 • 3x + 3 = 0  b. (log8x)2  + log8(x2) = 8

A:

Q: What is the solution of 4 + 3 log(2x) = 16 ?

A: #  Given equation is          4+3log 2x=16

Q: 3. Solve the equation for x a) 45-4x = 1 86-2x b) log2 (2x+4)= 4 c) enx = 11

A: in each part we need to solve the equation for x

Q: Solve the following equations 1. 4x+8= 16x 2. 32x+4*3x-21=0 3. 4-log(3-x)=3

A: 1) Given:       4x+8= 16x       4x+8= 42x       4x+8= 42x Here bases are equal, so power should be…

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

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

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Q: solve for the unknown. log3 y + 3 log3(y2) = 14

A: We have to solve the equation: log3y+3 log3y2=14 We know the properties of logarithm, m…

Q: Solve for X: 53x +1=17 log5-log17 3log5 log17-log5 5log3 log17-log5 3log5 No Solution O log5+log17…

A: Given; 53x+1 = 17.

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 for x in log3 (x- 7) + log3 (x + 4) = log3 26.

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Q: 3. Solve the equation for x a) 45-4x 1 = 86-2x b) log2 (2x+4)=4 c) enx=11

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log16 x…

A: Given logarithmic equation is: log16 x + log4 x + log2 x = 7 We have to solve for x.

Q: The solution of 29 + 12 log3 (7 – 5x ) = 65 %3D -

A: 29+12log3(7-5x)=65

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

A:

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

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Q: Solve the following: (a) 4 2x-1 = 64 (b) 8 1−x = 4 x+2 (c) 2 2x + 2 x − 12 = 0

A: Since you are posting multiple subparts. We will answer first three subparts. Kindly repost the…

Q: 15. Solve log5(5 – 3x) - 2log5(7 + x) = 1 %3D

A: We can find the answer as below

Q: Solve the following: 42x-1= 64 81-x=4x+2 22x + 2x  - 12 = 0 In 3 - In x - In(x + 5) = 0 Log4(x…

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

Q: 5. Find the solution set of (log3 (x+1)]2 +log3 (x+1)2 = log2 256. ||

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Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

A:

Q: Solve: a. log,(x + 3) = 2 b. 3 In(2x) = 12. %3D

A:

Q: 10. Solve 3log x= log 512-log 8

A: To slove 3logx=log512-log8

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2…

A: Given, log2 (3x + 2) - log4 x = 3

Q: 3. 9. a) Solve for x: log4 xX = b Write as a single log: 2log, 3x + 3log5y – 4log5z

A:

Q: Find the solution set of log3(2x+6)+log3(2x-2)=2

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Q: 1. Solve for both the -3 ln (x + 5) - 2

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: 17. Solve log3 (5z +1) > log;(3z +1)

A:

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: Solve the following a)81-x =4x+2 b) log2 (x - 1) - log2(x + 3)= log2 (1/x) C) 22x +2x- 12 =0

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

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Q: Solve for the unknown. log3 y + 3 log3(y2) = 14

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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: 3. Solve algebraically for x log, 64-

A: logx64=32To solve for x

Q: 9. Solve the following simultaneous equations: logx+log(y²)=4 log²x-3log(xy)=-5 Where x,y are real…

A:

Q: 1. solve for x, log2(3x-2)=4.    2. use the laws of logarithims to rewrite 7log x - 3log y as a…

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Q: Solve the equation and choose the exact solution. -3. 44z+10 - 8 = -51 43 - 10+log2 3 = x 4 O= log,…

A: Given equation: -3·44x+10-8=-51 To determine: The vlaue of x.

Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

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

Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

A:

Q: solve the following 1) 42x-1 =64 2) In 3 - In x - In (x + 5)=0 3) log4 (x + 2) - log4 ( x - 1)=1

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Q: Solve for n: log₂(log₃n)⁵=10

A: Use the following formulae, to obtain the solution. If logax=y, then x=ay. amn=amn. logaxn=nlogax…