What is 1/2 log_{7}(4m^2) ?

The solution to 1/2 log_{7}(4m^2) is log_{7}(2)+log_{7}(m)

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simplify 1/2 log_{7}(4m^2)

simplify

\frac{1}{2} lo g_{7} (4 m^{2})

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

Solution steps

\frac{1}{2} lo g_{7} (4 m^{2})

Simplify

lo g_{7} (4 m^{2}) : 2 lo g_{7} (2) + 2 lo g_{7} (m)

= \frac{1}{2} (2 lo g_{7} (2) + 2 lo g_{7} (m))

Expand

\frac{1}{2} (2 lo g_{7} (2) + 2 lo g_{7} (m)) : lo g_{7} (2) + lo g_{7} (m)

= lo g_{7} (2) + lo g_{7} (m)

lo g_{10} (\frac{7 x + 3}{x ^{4} ( x - 5 ) ^{2}})

lo g_{6} (x + 3) + lo g_{6} (x^{2} - 4) - lo g_{6} (x + 2)

lo g_{2} (4) + lo g_{2} (6) + lo g_{2} (3)

lo g_{3} (3 x)

ln (\frac{x ^{4} y}{z ^{5}})

What is 1/2 log_{7}(4m^2) ?
The solution to 1/2 log_{7}(4m^2) is log_{7}(2)+log_{7}(m)