Change the exponentional expression to an equivalent expression involving a logarithm.

Question

(2x)^-10=4

Answer 1

-10 log 2x = log 4

Answer 2

I always encouraged my students to memorize this statement
2³ = 8 <------> log<sub>2</sub) 8 = 3

that way you will be able to convert easily in either direction

log (2x)4 = -10</sub>

Answer 3

2³ = 8 <-----> log ₂ 8 = 3

log_2x 4 = -10