Write the expression below as a single logarithm in simplest form.
logo 7 – log, 7
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Given:
The given expression is:
[tex]\log_b7-\log_b7[/tex]
To find:
The single logarithm expression for the given expression.
Solution:
Quotient property of logarithm:
[tex]\log_bm-\log_bn=\log_b\left(\dfrac{m}{n}\right)[/tex]
We have,
[tex]\log_b7-\log_b7[/tex]
Using quotient property of logarithm, we get
[tex]\log_b7-\log_b7=\log_b\left(\dfrac{7}{7}\right)[/tex]
[tex]\log_b7-\log_b7=\log_b\left(1\right)[/tex]
Therefore, the required expression is [tex]\log_b\left(1\right)[/tex].