Question

Use log, 20.356, log, 3 0.503, and log, 5 0.835 to approximate the value of the given logarithm to 3 decimal places. Assume that b>0 and b + 1.

log, 625
X
A

Answer 1

3.34

Explanation:

625 is 5^4

Using the log rule
`log_b(x^a)=alog_b(x)`,

log_b(5^4) = 4*log_b(5)

4*0.835 = 3.34