Final Answer
$\log \left(3\right)^2x+\log \left(3\right)\cdot 3x$
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Step-by-step Solution
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1
Decompose $27$ in it's prime factors
$\log \left(3\right)x+\log \left(3^{3}\right)x$
Learn how to solve expanding logarithms problems step by step online.
$\log \left(3\right)x+\log \left(3^{3}\right)x$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression log(3)x+log(27)x. Decompose 27 in it's prime factors. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Combining like terms \log \left(3\right)x and 3\log \left(3\right)x. Multiplying polynomials \log \left(3\right) and \log \left(3\right)+3.
Final Answer
$\log \left(3\right)^2x+\log \left(3\right)\cdot 3x$