If 8^x = 12, then 24^x = ?

Question

Estimate your answer to one decimal place.

Answer 1

24 = 8^(log_8(24))
24^x = 8^(x log_8(24))
= (8^x)^(log_8(24))
= 12^(log_8(24))
= 12^1.52832
= 44.6