Approximate the logarithm using the properties of logarithms, given

Question

 log_b 2 ≈ 0.3562,

 log_b 3 ≈ 0.5646,

 and log_b 5 ≈ 0.8271.

(Round your answer to four decimal places.)

log_b(5b)⁻⁵

Answer 1

Given:

log_b 5 ≈ 0.8271.

(Round your answer to four decimal places.)

Find: log_b(5b)⁻⁵

Solution

(–5)log_b5 – 5log_bb =

(–5)(0.8271) – (5)(1) = - 4.1355 - 5 = 9.1355

Answer 2

log_b(5b)^-5

-5 log_b(5b)

-5 [log_b5 + log_bb]

Can you finish and answer?