bm42400
bm42400 bm42400
  • 02-04-2019
  • Mathematics
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Simplify the expression. log(1/7)

Simplify the expression log17 class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 02-04-2019

Answer:

d. [tex]\frac{1}{7}[/tex]

Step-by-step explanation:

The given logarithm is

[tex]10^{\log(\frac{1}{7})}[/tex]

Recall that the common logarithm has a base of 10.

[tex]10^{\log(\frac{1}{7})}=10^{\log_{10}(\frac{1}{7})}[/tex]

Recall also that;[tex]p^{(\log_pa)}=a[/tex]

[tex]10^{\log(\frac{1}{7})}=10^{\log_{10}(\frac{1}{7})}=\frac{1}{7}[/tex]

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