Question

Solve: logx 64 = 3. Which is an equivalent equation?

Answer 1

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Explanation:

Answer 2

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4