Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Condense the logarithm
- Expand 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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Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $3$
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$\ln\left(\left(\frac{x}{y}\right)^3\right)+\frac{1}{2}\ln\left(x^6y^{18}\right)-3\ln\left(xy\right)$
Learn how to solve problems step by step online. Condense the logarithmic expression 3ln(x/y)+1/2ln(x^6y^18)-3ln(xy). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals 3. Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals \frac{1}{2}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{x^6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{1}{2}.
