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
- Load more...
Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $\frac{3}{2}$
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$\ln\left(\sqrt{\left(4x^{10}\right)^{3}}\right)-\frac{1}{5}\ln\left(2y^{30}\right)$
Learn how to solve problems step by step online. Condense the logarithmic expression 3/2ln(4x^10)-1/5ln(2y^30). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals \frac{3}{2}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{\left(x^{10}\right)^{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{3}{2}. Using the power rule of logarithms: n\log_b(a)=\log_b(a^n).
