Question

Express the following in logarithmic form.

4² = 16

Answer 1

4² = 16

Taking log₄ on both sides.

log₄ 4² = log₄ 16

2 log₄ ​4 = log₄ ​16  ...(Using the rule log a^m = m log a)

2 × 1 = log_⁡4 16    ...(Since log⁡₄ 4 = 1)

2 = log_⁡4 16

log₄ 16 = 2