Question

Solve for x, rounding to the nearest hundredth
10x10^x=60

Answer 1

To solve for x, we will take the logarithm of both sides of the equation.

10x10^x = 60

log(10x10^x) = log(60)

log(10) + log(10^x) = log(60)

1 + x log(10) = log(60)

x log(10) = log(60) - 1

x = (log(60) - 1) / log(10)

x ≈ 0.78

Rounding to the nearest hundredth, x ≈ 0.78.