Final answer to the problem
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
- Load more...
The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$
Learn how to solve expanding logarithms problems step by step online.
$\log_{5}\left(x^2\sqrt{\left(1-5x\right)^{3}}\right)-\log_{5}\left(\sqrt{x^3-x}\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression log5((x^2*(1+-5*x)^(3/2))/((x^3+-1*x)^(1/2))). 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). Use the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right), where M=x^2 and N=\sqrt{\left(1-5x\right)^{3}}. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x).
