Use the​ change-of-base formula to evaluate the expression.

Question

log14 ^24

Answer 1

To evaluate the expression log14^24 using the change-of-base formula, we can rewrite the expression using a different base. Let's rewrite it using base 10.

log14^24 = log24 / log14

Now, we can use a calculator to evaluate log24 and log14:

log24 ≈ 1.38021124171
log14 ≈ 1.14612803568

Therefore, log14^24 ≈ 1.38021124171 / 1.14612803568 ≈ 1.2067926435977738.