Solve 5^x=81. 2

Round to the nearest ten-thousandth.

X≈?

Is that 5^x=81.2?

5^x=81.2 take the natural log of both sides

xln5=ln81.2 divide both sides by ln5

x=ln81.2/ln5

x≈2.7320 (to nearest ten-thousandth)

If you just meant 5^x=81, the process is the same

5^x=81 take the natural log of both sides

xln5=ln81 divide both sides by ln5

x=ln81/ln5

x≈2.7304 (to nearest ten-thousandth)