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- Find the derivative using the definition
- Solve by quadratic formula (general formula)
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- Find the derivative
- Factor
- Factor by completing the square
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The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$
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$\log_{2}\left(\frac{x}{x-5}\right)=3$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log2(x)-log2(x+-5)=3. 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). Rewrite the number 3 as a logarithm of base 2. For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. Calculate the power 2^3.