Question

Evaluate the expression, reduce to simplest form.

(a) log4(⁴^(8))
(b) log2^(16)
(c) log2²

Answer 1

To evaluate the expressions and reduce them to their simplest form, (a) log4(⁴^(8)) = 8, (b) log2(16) = 4, and (c) log2² = 2.

Step-by-step explanation:

To evaluate the expressions and reduce them to their simplest form:

(a) log₄(⁴⁸) = 8 because log with a base of 4, when applied to 4 raised to any power x, results in x.

(b) log₂(16) = 4 because log with a base of 2, when applied to 2 raised to any power x, results in x.

(c) log₂² = 2 because log with a base of 2, when applied to 2 raised to any power x, results in x.