Question

Use Natural Logarithms to solve the equation

8e^3x + 4 = 15


Round to the nearest thousandth.

A) 0.106

B) -1.124

C) 0.288

D) 0.100

Answer 1

A) 0.106

Explanation:

8e^3x + 4 = 15

Subtract 4 from each side

8e^3x + 4-4 = 15-4

8e^3x = 11

Divide each side by 8

8/8e^3x = 11/8

e^(3x) = 11/8

Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

3x/3 = 1/3 ln(11/8)

x = 1/3 ln(11/8)

x =.106151244

To the nearest thousandth

x = .106