Solve the equation: 2e8x-17 = 44 . Report an exact answer (involving logarithms) as well as a numerical approximation to 3 decimal places. (a) What is an acceptable first step in finding the exact solution of the equation 2e8x-17 = 44 ? O (8x – 17) In(2e) = ln 44 8x-17 = 46 2(8x – 17) = In 44 8x-17 = 42 8x-17 – 22 O (8x – 17) In 2 = ln 44 (b) What is the exact solution in terms of natural logarithms? Simplify your answer. Do not use a common logarithm. Number (c) What is the decimal approximation for your answer? Report to three decimal places. Number

Q: Solve the logarithmic equation. 19. In(7x - 4) = In(2x + 11) %3D

A: ln(7x-4)=ln(2x+11) ln(7x-4)-ln(2x+11)=0

Q: Solve the exponential equation ex = 0.83. Express the solution set in terms of natural logarithms or…

A: given: ex=0.83

Q: Find the solution of the exponential equation 7e = 6 in terms of logarithms, or correct to four…

A:

Q: 14. Solve the equation: log3 (x + 1) + log;(2r – 3) = log, 9

A:

Q: Find the solution of the exponential equation 2z +1 - 49 e41 %3D in terms of logarithms, or correct…

A:

Q: Solve the exponential equation 72x+1 = 3x+2. Express the solution set in terms of natural logarithms…

A: Given exponential equation is 72x+1=3x+2 Taking ln on both sides we get, ln (72x+1)=ln (3x+2)…

Q: Solve the logarithmic equation ln 3x = 8.2 algebraically.Approximate the result to three decimal…

A: Given logarithmic equation is: ln 3x = 8.2 We have to solve the above equation for x.

Q: Find the solution of the exponential equation  13e^x=19 in terms of logarithms, or correct to four…

A:

Q: Use the definition of a logarithm to solve the equation. 10 − 3 ln(6 − 9x) = 7

A: Given:

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 exponential equation ex = 0.83 Express the solution set in terms of natural logarithms or…

A:

Q: Find the solution of the exponential equation 2t 100(1.03)" = 500, 000 in terms of logarithms, or…

A:

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

A:

Q: 3(1 + 108x) = 8 %3D (a) Find the exact solution of the exponential equation in terms of logarithms.…

A:

Q: Find the solution of the exponential equation 100(1.04)^2t=500,000 in terms of logarithms, or…

A: Solve the following

Q: 2^(x-1) = 3^(x+1) solve using logarithms

A: Given 2(x-1) = 3(x+1)

Q: 18. Solve each equation for x a) e2 d) log og 3 e2-3 b) 9-131+c) ln(x+ 4) +In(x - 2) = 0 log 15…

A: a) Here, we use the result that if a^b=a^c, then b=c

Q: Solve the exponential equation 10x = 7000. Where necessary, express the solution set in terms of…

A: The given equation is 10x = 7000.

Q: Solve the equation log(x + 2) + log(x - 1) = 1 algebracially and graphically.

A: To solve the equation: logx+2+logx-1=1 Solution: We know that, logm+logn=logmn Solving the equation.…

Q: Solve 5a+4 = 3°+2 for x. Give both the exact answer and the decimal approximation to the nearest…

A: Tk solve the given expression we have to use the logarithmic function. Here we use basic logarithmic…

Q: Solve the exponential equation 125x = 25 Where necessary, express the solution set in terms of…

A:

Q: Solve the exponential equation 3x/7= 0.2. Express the solution set in terms of natural logarithms or…

A: 3x7=0.2

Q: Assume that a population was 823 when t=0 and 4 years later it became 2490. Assuming the population…

A: Given:- Assume that a population was 823 when t=0 and 4 years later it became 2490. Assuming the…

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: In the given question , use the properties of logarithms to approximate the indicated logarithms,…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the solution of the exponential equation 2t 100(1.04) = 5, 000 in terms of logarithms, or…

A:

Q: Solve the exponential equation 3x/7= 0.2. Express the solution set in terms of natural logarithms or…

A: The equation is 3x/7=0.2.   Apply logarithm to the base 10 on both sides.…

Q: 3. Solve each equation for x (using algebraic methods). Leave solutions as simplified exact values.…

A: a. ln(3x)=2.1b. log5(4x+7)=2c. log4+log(x-5)=log16

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

Q: 17. When solving log(4x+5)-2log5=3 , which of the following equations will result? (A) 100x+125 =…

A:

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: The given equation is 23x+1=3x-2

Q: Solve the following exponential and logarithmic equations: a) log3 (5x - 4)=4 b) log(x-5) +…

A: Part (a) Given:

Q: Solve the exponential equation 10x = 7000. Where necessary, express the solution set in terms of…

A: Given the exponential equation 10x = 7000 Taking common logarithms on both side, we get…

Q: Solve the exponential equation 72x+1 = 3x+2. Express the solution set in terms of natural logarithms…

A: 72x+1=3x+2 Applying natural logarithm on both sides, we get ⇒ln72x+1=ln3x+2⇒2x+1·ln7=x+2·ln3…

Q: 8. Solve the logarithmic equation for x: log, (4- x) = 7 (1) x = 2191 (2) x = 2183 (3) x = -2191 (4)…

A: We have to solve the logarithmic equation  log34-x = 7.

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

A: The given logarithms equation is  logtan nx(2 + 4cos2nx) = 2

Q: Find the solution of the exponential equation 17e" – 18 = 9 in terms of logarithms, or correct to…

A:

Q: Solve the exponential equation 54x+2 = 37,500. Where necessary, express the solution set in terms of…

A: Given equation is: 54x+2 = 37,500 (4x + 2) ln 5 = ln (37500) (4x + 2) ln 5 = ln…

Q: Solve the logarithmic equation 3 + 4 ln(2x) = 15

A: To solve the equation: 3+4ln2x=15 Solution: Property of logarithm states that: lnxy=lnx+lny Solving…

Q: Solve: a. log4(x + 3) = 2  b. 3 ln(2x) = 12.

A: Logarithm: a) log4(x+3)=2(x+3)=42x+3=16x=16-3x=13

Q: 3. Solve the logarithmic equation log,x + log2(x-6) = 4

A: Given:   The logarithm equation is       log2(x) + log2(x-6) = 4 The product rule states that sum of…

Q: Solve the exponential equation 24x-2 = 64. Where necessary, express the solution set in terms of…

A: Given: 24x-2 = 64

Q: 7. Solve the equation log(x + 2) + log(x - 1) = 2

A: