What is log_{4}(nsqrt(m)) ?

The solution to log_{4}(nsqrt(m)) is log_{4}(n)+log_{4}(sqrt(m))

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simplify log_{4}(nsqrt(m))

simplify

lo g_{4} (n m)

lo g_{4} (n) + lo g_{4} (m)

Solution steps

lo g_{4} (n m)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{4} (n m) = lo g_{4} (n) + lo g_{4} (m)

= lo g_{4} (n) + lo g_{4} (m)

lo g_{9} (\frac{9 x ^{7}}{y})

5 lo g_{10} (x) + 3 lo g_{10} (x^{2})

ln (9 x (2 x + 5))

2 (lo g_{7} (x) + 2 lo g_{7} (y) - 4 lo g_{7} (z))

\frac{1}{8} ln (3) - \frac{1}{8} ln (8)

What is log_{4}(nsqrt(m)) ?
The solution to log_{4}(nsqrt(m)) is log_{4}(n)+log_{4}(sqrt(m))