Question

Match each logarithmic expression with its equivalent exponential representation. The logarithmic expressions are log (100) =2, in(e)=1, log5(1/25) =-2, log3(81) =4. The exponential representations are 3^4=81, 10^2=100, 5^-2=1/25, e^1=e.

Answer 1

Use the definition log_b(a) = c ⇔ b^c = a.

- log(100) = 2 ⇔ 10^2 = 100
- ln(e) = 1 ⇔ e^1 = e
- log_5(1/25) = -2 ⇔ 5^-2 = 1/25
- log_3(81) = 4 ⇔ 3^4 = 81