Solve for x, rounding to the nearest hundredth.
10^x/4=79
To solve for x, multiply both sides of the equation by 4:
10^x = 79 * 4
10^x = 316
To isolate x, take the logarithm (base 10) of both sides:
log(10^x) = log(316)
x * log(10) = log(316)
Since log(10) = 1, the equation simplifies to:
x = log(316)
Using a calculator, the approximate value of x is 2.5005.
Rounding to the nearest hundredth, x ≈ 2.50.