Final answer to the problem
$\ln\left(\frac{a^3}{\sqrt{b}c}\right)$
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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...
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1
Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $3$
Learn how to solve condensing logarithms problems step by step online.
$\ln\left(a^3\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression 3ln(a)-1/2(ln(b)+ln(c^2)). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals 3. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n). The power of a product is equal to the product of it's factors raised to the same power.
Final answer to the problem
$\ln\left(\frac{a^3}{\sqrt{b}c}\right)$
