Use these values and the properties of logarithms to approximate the value.

Question

Assume that
logb 4 ≈ 0.6021, logb 7 ≈ 0.8451, and logb 9 ≈ 0.9542.
Use these values and the properties of logarithms to approximate the value.
logb 2.25

Answer 1

log(b)2.25=log(b)(9/4) because 9/4=2 1/4=2.25

log(b)(9/4)=log(b)9-log(b)4

log(b)9-log(b)4=0.9542-0.6021=0.3521 is the answer

log(b)2.25=0.3521