Solve the following equations. Show all work. 5. log, x + log2(x + 6) = 4 6. In 42 7. log(x - 3) + log(x +2) = log(2x – 10)

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

A: Given that 2log3x+4=log39+2.

Q: Solve to 3 decimal places. log ¿ (3x–4) =8.7 a) b) 4 =9

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Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2x – 12 = 0 (d) In 3 – In x –…

A: we have to solve the following.

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 7√7

A: We first write the inner expression using an exponent.

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: 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. 7+2 ln x = 6 log, (x+1) = 2 log, (2x – 3) = 3 4 In(3.x) = 8

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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: Solve the following: 3 log () – (3 +0) = log(10m³n) %3D |

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

Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2* – 12 = 0 %3D (d) In 3 – Inx –…

A: (d) ln3-lnx-lnx+5=0 Moving negative elements on opposite side of equation we getln3=lnx+lnx+5 Apply…

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

A: We can solve the given function.

Q: 17. Without using a calculator, solve each of the following: |4*+3 V 16* log, (x+3)+ log, (x-3)=2 b.…

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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 solution set of * 2log2 (x + 8) – log2 (r + 6) = 3

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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: Which of the following functions grow faster than In x as xoo? Which grow at the same rate as In x?…

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

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

Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

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

A: We have to solve

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

A:

Q: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

A:

Q: (b) 2log(x – 3) – log(x – 1) = 0

A:

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

A:

Q: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

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: I need some help on ii for #1 please!

A:

Q: 9

A: We need to solve

Q: log2(4x+8)=5

A: We will solve given equation in this question.

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

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

A:

Q: in The solution of the equation Log(z² – 1) = 7 is %3D Select one: 1 in 1 157 - - 24e 4 and 24e 4 1…

A:

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

A:

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

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Q: Solve the following logarithmic inequalities. 1. log5x 2 3. log273 > x 4. log2(5x + 7) > 5 5.…

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Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = 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: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

A:

Q: (1) Solve the following: (a) 42x−1=64 (b) 81−x=4x+2 (c) 22x+2x−12=0 (d) ln3−lnx−ln(x+5)=0 (e)…

A: Dear student as per our rule in one session we can only solve the first three subparts of one…

Q: 8. Solve. Give EXACT answers only- (a) e**1 = ! %3D (b) 3log2(x – 1) = 5 – log24

A:

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: Given that log, x + 2 log4 y = 4, show that xy = 16. Hence solve for x and y in the simultaneous…

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

A:

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: 1. Find for the following functions : dx 2x (ans.: 3x' log,( 3 – 2x)-’ (3–2x )In 2 45) y=x' log,(3–…

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Q: The relation between the number of time in days, D, it takes for a planet to revolve around the Sun…

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