Question

Solve for x: 3^x = 54

Answer 1

x = 3.631 to the nearest thousandth.

Explanation:

3^x = 54

Take logs of both sides.

ln 3^x = ln 54

By the law of logarithms ln 3^x = x ln 3, so:-

x ln 3 = ln 54

x = ln 54 / ln 3

= 3.6309