Solve for x if 2 log25 x - log25 (25 - 4x) = 1/2. Solve for x if 2 log25 x - log25 (25 - 4x) = 1/2. A. 3 C. 5 B. 4 D. 6 Solution Click here to… Jhun Vert Fri, 06/07/2024 - 20:37 Solution Click here to expand or collapse this section $2 \log_{25} x - \log_{25} (25 - 4x) = 1/2$ $\log_{25} x^2 - \log_{25} (25 - 4x) = 1/2$ $\log_{25} \left( \dfrac{x^2}{25 - 4x} \right) = 1/2$ $\dfrac{x^2}{25 - 4x} = 25^{1/2}$ $\dfrac{x^2}{25 - 4x} = 5$ $x^2 = 125 - 20x$ $x^2 + 20x - 125 = 0$ $x = 5 ~ \text{and} ~ -125$ Log in to post comments Log in to post comments
Solution Click here to… Jhun Vert Fri, 06/07/2024 - 20:37 Solution Click here to expand or collapse this section $2 \log_{25} x - \log_{25} (25 - 4x) = 1/2$ $\log_{25} x^2 - \log_{25} (25 - 4x) = 1/2$ $\log_{25} \left( \dfrac{x^2}{25 - 4x} \right) = 1/2$ $\dfrac{x^2}{25 - 4x} = 25^{1/2}$ $\dfrac{x^2}{25 - 4x} = 5$ $x^2 = 125 - 20x$ $x^2 + 20x - 125 = 0$ $x = 5 ~ \text{and} ~ -125$ Log in to post comments
Solution Click here to…