What is log_{a/2}((a^2)/4) ?

The solution to log_{a/2}((a^2)/4) is 2log_{a/2}(a)-2log_{a/2}(2)

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simplify log_{a/2}((a^2)/4)

simplify

lo g_{\frac{a}{2}} (\frac{a ^{2}}{4})

2 lo g_{\frac{a}{2}} (a) - 2 lo g_{\frac{a}{2}} (2)

Solution steps

lo g_{\frac{a}{2}} (\frac{a ^{2}}{4})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{\frac{a}{2}} (\frac{a ^{2}}{4}) = lo g_{\frac{a}{2}} (a^{2}) - lo g_{\frac{a}{2}} (4)

= lo g_{\frac{a}{2}} (a^{2}) - lo g_{\frac{a}{2}} (4)

lo g_{\frac{a}{2}} (a^{2}) = 2 lo g_{\frac{a}{2}} (a)

lo g_{\frac{a}{2}} (4) = 2 lo g_{\frac{a}{2}} (2)

= 2 lo g_{\frac{a}{2}} (a) - 2 lo g_{\frac{a}{2}} (2)

lo g_{5} (7) + lo g_{5} (2)

lo g_{3} (15 q)

lo g_{1.3} (0.5 x)

lo g_{b} (\frac{M}{N})

What is log_{a/2}((a^2)/4) ?
The solution to log_{a/2}((a^2)/4) is 2log_{a/2}(a)-2log_{a/2}(2)