Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Expand the logarithm
- Solve for x
- Condense the logarithm
- Simplify
- Find the integral
- Find the derivative
- Write as single logarithm
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Decompose $27$ in it's prime factors
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.