naomi2369
naomi2369 naomi2369
  • 03-06-2021
  • Mathematics
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Write the expression below as a single logarithm in simplest form.
logo 7 – log, 7

Write the expression below as a single logarithm in simplest form logo 7 log 7 class=

Respuesta :

erinna erinna
  • 08-06-2021

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].

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