What is log_{4}(6)+3log_{4}(x) ?

The solution to log_{4}(6)+3log_{4}(x) is log_{4}(6x^3)

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simplify log_{4}(6)+3log_{4}(x)

simplify

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

lo g_{4} (6 x^{3})

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{4} (x) = lo g_{4} (x^{3})

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

= lo g_{4} (6 x^{3})

ln (\frac{1 ^{4}}{( 1 + 1 ) ^{4}})

ln (\frac{k ^{6}}{m ^{3}})

ln (\frac{( sin ( x ) cos ^{4} ( x ) )}{4})

ln (\frac{90}{70})

- lo g_{10} (3.16 \cdot 1 0^{- 12})

What is log_{4}(6)+3log_{4}(x) ?
The solution to log_{4}(6)+3log_{4}(x) is log_{4}(6x^3)