Question

Match each logarithmic equation to the equivalent exponential equation. Both equations in a pair represent the same mathematical relationship. The logarithmic equations are log (100) =2, log2(16) =4, log3(1/9) =-2, log5(1) =0. The equivalent exponential equations are 10^2=100, 3^-2=1/9, 2^4=16, 5^0=1.

Answer 1

Matchings (using log_b(A) = C ⇔ b^C = A):

- log(100) = 2 ⇔ 10^2 = 100
- log2(16) = 4 ⇔ 2^4 = 16
- log3(1/9) = -2 ⇔ 3^-2 = 1/9
- log5(1) = 0 ⇔ 5^0 = 1