Answers to Questions on Exponential and Logarithmic Equations

Answers to questions on solving exponential and logarithmic equations are presented.

Question 1: Find all real solutions to the logarithmic equation.

ln (x) = 2


e: e
2

Question 2: Find all real solutions to the exponential equation.

e x = 6


c: ln (6)

Question 3: Find all real solutions to the logarithmic equation.

ln (x) + ln (2) = 3


b: e
3 / 2

Question 4: Find all real solutions to the exponential equation.

e 3x = -1


a: no real solutions

Question 5: Find all real solutions to the exponential equation.

e 2x - 3e x + 2 = 0


d: 0 , ln (2)

Question 6: Find all real solutions to the logarithmic equation.

ln (x + 1) + ln (x) = ln (2)


e: 1

Question 7: Find all real solutions to the logarithmic equation.

ln (x + 1) - ln (x) = 2


c: 1 / (e
2 - 1)

Question 8: Find all real solutions to the logarithmic equation.

ln (x 2 - 1) - ln (x - 1) = ln (4)


e: 3

Question 9: Find all real solutions to the exponential equation.

e 2x e 3x - 3 = 2


a: ln (5) / 5

Question 10: Find all real solutions to the logarithmic equation.

ln (x 4) + ln (x 2) - ln (x 3) - 2 = 7


b: e
3

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