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:

$\log_bm-\log_bn=\log_b\left(\dfrac{m}{n}\right)$

We have,

$\log_b7-\log_b7$

Using quotient property of logarithm, we get

$\log_b7-\log_b7=\log_b\left(\dfrac{7}{7}\right)$

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

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