U4.L3.HW: Logarithmic Properties: Question 24

Question

Explain your answers only after you answer each logarithm.

Let log (A) = -5, log (B) = 11, and log (C) = -10. Evaluate the following logarithms using logarithmic properties.

1. log (A⁴ / √B) =
2. log (B / C²) =
3. log (A / B³) =

Answer 1

log(A⁴ / √B) = log(A⁴) - log(B^1/2)

= 4logA - (1/2)logB = 4(-5) - (1/2)(11) = -20 - 5.5 = -25.5

Do the other problems in a sismilar manner.