Final answer to the problem
$\log \left(\frac{\left(x-7\right)^4\left(x+9\right)^5}{\left(\left(x-7\right)\left(x+9\right)\right)^{2}}\right)$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- 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
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1
Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$
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$4\log \left(x-7\right)-\log \left(\left(x^2+2x-63\right)^{2}\right)+5\log \left(x+9\right)$
Learn how to solve problems step by step online. Condense the logarithmic expression 4log(x+-7)-2log(x^2+2*x+-63)5log(x+9). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n). Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right).
Final answer to the problem
$\log \left(\frac{\left(x-7\right)^4\left(x+9\right)^5}{\left(\left(x-7\right)\left(x+9\right)\right)^{2}}\right)$
