What is log_{6}((6x^4)/5) ?

The solution to log_{6}((6x^4)/5) is 1+4log_{6}(x)-log_{6}(5)

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simplify log_{6}((6x^4)/5)

simplify

lo g_{6} (\frac{6 x ^{4}}{5})

1 + 4 lo g_{6} (x) - lo g_{6} (5)

Solution steps

lo g_{6} (\frac{6 x ^{4}}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{6} (\frac{6 x ^{4}}{5}) = lo g_{6} (6 x^{4}) - lo g_{6} (5)

= lo g_{6} (6 x^{4}) - lo g_{6} (5)

Simplify

lo g_{6} (6 x^{4}) : 1 + 4 lo g_{6} (x)

= 1 + 4 lo g_{6} (x) - lo g_{6} (5)

2 lo g_{3} (k) - 5 lo g_{3} (m) + lo g_{3} (n + 3)

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

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

ln (\frac{21}{8})

ln (\frac{x ^{4} y ^{5}}{z ^{3}})

What is log_{6}((6x^4)/5) ?
The solution to log_{6}((6x^4)/5) is 1+4log_{6}(x)-log_{6}(5)