Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271. (Round your answer to four decimal places.)

Question

Approximate the logarithm using the properties of logarithms,

given 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(2b⁴)

Answer 1

log_b(2b⁴) = log_b2 + log_b(b⁴) = log_b2 + 4log_bb = 0.3562 + 4(1) = 4.3562