Question

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 possible.

Answer 1

`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))`