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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-example-1
User Zlaja
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1 Answer

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


\log _ab+\log _ac=\log _a(b* c)

From the question, it is obvious that:

a = 7

b = 20

x = c

Therefore, we can re-write the question as:


\begin{gathered} \log _720+\log _7x=\log _a(20* x) \\ \\ \therefore\log _a(20x) \end{gathered}

User Granero
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