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faltersainse [42]
3 years ago
9

choose the single logarithm expression that is equivalent to the one shown 1 / 3 log 3x + 2 / 3 log 3x​

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

\log (3x)

Step-by-step explanation:

The given logarithmic expression is:

\frac{1}{3}\log(3x)+ \frac{2}{3}\log(3x)

This is the same as:

\frac{1}{3}\log(3x)+ \frac{1}{3}\log(3x)^2

\frac{1}{3}(\log(3x)+ \log(3x)^2)

We now apply the product rule to get:

\frac{1}{3}\log(3x)\times (3x)^2

\frac{1}{3}\log (3x)^3

We now apply the power rule to get;

\frac{3}{3}\log (3x)=\log (3x)

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