Question

Solve for x.
e^5x=50

Answer 1

`e^(5x) = 50 \\ln(e^(5x)) = ln(50) \\5xln(e) = ln(50) \\5x = ln(50) \\(5x)/(5) = (ln(50))/(5) \\x = (ln(25 * 2))/(5) \\x = (ln(25) + ln(2))/(5) \\x = (ln(5^(2)) + ln(2))/(5) \\x = (2ln(5) + ln(2))/(5) \\x = (2ln(5))/(5) + (ln(2))/(5) \\x = (2ln(5))/(5) + (1)/(5)ln(2)`