Question

Write the expression below as a single logarithm in simplest form.
logo 7 – log, 7

Answer 1

Given:

The given expression is:

`\log_b7-\log_b7`

To find:

The single logarithm expression for the given expression.

Solution:

Quotient property of logarithm:

`\log_bm-\log_bn=\log_b\left((m)/(n)\right)`

We have,

`\log_b7-\log_b7`

Using quotient property of logarithm, we get

`\log_b7-\log_b7=\log_b\left((7)/(7)\right)`

`\log_b7-\log_b7=\log_b\left(1\right)`

Therefore, the required expression is
`\log_b\left(1\right)`.