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Exercise

$\left(\log\left(3x\right)+\sin3x\right)$

Step-by-step Solution

1

Use the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$, where $M=x$ and $N=3$

$\log \left(x\right)+\log \left(3\right)+\sin\left(3x\right)$

Final answer to the exercise

$\log \left(x\right)+\log \left(3\right)+\sin\left(3x\right)$

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Main Topic: Properties of Logarithms

They are properties that can help us simplify expressions with logarithms.

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