condense the logarithm $5\\log a - 25\\log b$\n$\\log (ab)^{25}$\n$\\log (a^{5}-b^{25})$\n$\\log…

condense the logarithm $5\\log a - 25\\log b$\n$\\log (ab)^{25}$\n$\\log (a^{5}-b^{25})$\n$\\log \\left(\\frac{a^{5}}{b^{25}}\\right)$\n$\\log (a^{5}+b^{25})$

condense the logarithm $5\\log a - 25\\log b$\n$\\log (ab)^{25}$\n$\\log (a^{5}-b^{25})$\n$\\log \\left(\\frac{a^{5}}{b^{25}}\\right)$\n$\\log (a^{5}+b^{25})$

Answer

Explanation:

Step1: Apply power rule to logs

$5\log a = \log a^5$, $25\log b = \log b^{25}$

Step2: Apply quotient rule to logs

$\log a^5 - \log b^{25} = \log\left(\frac{a^5}{b^{25}}\right)$

Answer:

C. $\log\left(\frac{a^5}{b^{25}}\right)$