Question

Match each logarithmic equation to its corresponding exponential form. The logarithmic equations are log5(1) =0, log3(1/9) =-2, log2(16) =4, log (1000) =3. The corresponding exponential forms are 10^3=1000, 2^4=16, 3^-2=1/9, 5^0=1.

Answer 1

Using log_b(a) = c ⇔ b^c = a, the matches are:

- log5(1) = 0 ⇔ 5^0 = 1
- log3(1/9) = −2 ⇔ 3^(−2) = 1/9
- log2(16) = 4 ⇔ 2^4 = 16
- log(1000) = 3 ⇔ 10^3 = 1000