What is log_{4}(5x^3y) ?

The solution to log_{4}(5x^3y) is log_{4}(5)+3log_{4}(x)+log_{4}(y)

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simplify log_{4}(5x^3y)

simplify

lo g_{4} (5 x^{3} y)

lo g_{4} (5) + 3 lo g_{4} (x) + lo g_{4} (y)

Solution steps

lo g_{4} (5 x^{3} y)

Apply log rule:

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

lo g_{4} (5 x^{3} y) = lo g_{4} (5) + lo g_{4} (x^{3}) + lo g_{4} (y)

= lo g_{4} (5) + lo g_{4} (x^{3}) + lo g_{4} (y)

Simplify

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

= lo g_{4} (5) + 3 lo g_{4} (x) + lo g_{4} (y)

lo g_{2} (\frac{x ^{2}}{x + 1})

lo g_{10} (\frac{x}{7})

4 (- ln (e^{3} z^{\frac{5}{2}}) + ln (\frac{x ^{3}}{y ^{2}}))

\frac{12 ln ( 3 )}{ln ( 20 )} - 1

ln (\frac{ψ}{2 ^{ψ}} \cdot (2 - x)^{ψ - 1})

What is log_{4}(5x^3y) ?
The solution to log_{4}(5x^3y) is log_{4}(5)+3log_{4}(x)+log_{4}(y)