Question

Use natural logarithms to solve the equation. Round to the nearest thousandth.

7e3x − 4 = 14

Answer 1

0.315 to nearest thousandth.

Explanation:

7e^3x − 4 = 14

7e3x = 18

e^3x = 18/7

3x = ln(18/7)

x = ln(18/7) / 3

= 0.31482.