What is log_{4}(5)+log_{4}(x)log_{4}(60) ?

The solution to log_{4}(5)+log_{4}(x)log_{4}(60) is log_{4}(5x^{log_{4}(60)})

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simplify log_{4}(5)+log_{4}(x)log_{4}(60)

simplify

lo g_{4} (5) + lo g_{4} (x) lo g_{4} (60)

lo g_{4} (5 x^{l o g_{4} (60)})

Solution steps

lo g_{4} (5) + lo g_{4} (x) lo g_{4} (60)

Apply log rule:

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

lo g_{4} (60) lo g_{4} (x) = lo g_{4} (x^{l o g_{4} (60)})

= lo g_{4} (5) + lo g_{4} (x^{l o g_{4} (60)})

Apply log rule:

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

lo g_{4} (5) + lo g_{4} (x^{l o g_{4} (60)}) = lo g_{4} (5 x^{l o g_{4} (60)})

= lo g_{4} (5 x^{l o g_{4} (60)})

- ln (\frac{1}{cos ( x )})

ln \frac{( \frac{x ^{6} ∣ y + 4 x ∣}{∣ x ∣ ( y - x ) ^{6}} )}{5} + ln ∣ x ∣

ln (ln (x)) + ln (x)

ln (x) - ln (y) + 2 ln (2 x - 3)

\frac{4 π \cdot 1 0 ^{- 7} \cdot 10 0 ^{2}}{4 π} ln (\frac{1}{7})

What is log_{4}(5)+log_{4}(x)log_{4}(60) ?
The solution to log_{4}(5)+log_{4}(x)log_{4}(60) is log_{4}(5x^{log_{4}(60)})