Find for x to four significant digits. 7^x=13

7^x = 13

To solve this exponential equation you would take the log (base7) of both sides.

Log (base7) 7^x=log (base7) 13

The left sides reduces to x.

x = log (base7) 13

Use change of base formula to solve.

x = (log13) / (log7)

x = 1.318

X ≈ 1.31812322

X is approximately the number above