LynnieI335174 LynnieI335174
  • 28-10-2022
  • Mathematics
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Rewrite this sum of two logarithms as a single logarithm. log 20 + log7x = log7

Rewrite this sum of two logarithms as a single logarithm log 20 log7x log7 class=

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AlettaK35221 AlettaK35221
  • 28-10-2022

To solve this question, we need to know a particular law of logarithm. This law is stated below:

[tex]\log _ab+\log _ac=\log _a(b\times c)[/tex]

From the question, it is obvious that:

a = 7

b = 20

x = c

Therefore, we can re-write the question as:

[tex]\begin{gathered} \log _720+\log _7x=\log _a(20\times x) \\ \\ \therefore\log _a(20x) \end{gathered}[/tex]

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