Solve the following equation for x. Round your answer to 4 decimal places.

5^(8x)=10

x=ln(10)/8ln(5) = x=0.1788

correct?

correct

Noticing the 10, I might have been tempted to use log instead of ln
log(5^(8x)) = 1
8x log5 = 1
x = 1/8log5 = same answer