G Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if pos…

Question

asked Sep 14, 2022 158k views

1 Answer

Cheruiyot Felix · Answer 1 · 2022-09-20T20:30:24+0000

Answer:

$4\log_bx - \log_by = \log((x^4)/(y))$

Explanation:

Given

$4\log_bx - \log_by$

Required

Express as a single expression

Using power rule of logarithm, we have:

$n\log m = \log m^n$

So, we have:

$4\log_bx - \log_by = \log_bx^4 - \log_by$

Apply quotient rule of logarithm

$4\log_bx - \log_by = \log((x^4)/(y))$