What is log_{7}((x^{12})/(x-3)) ?

The solution to log_{7}((x^{12})/(x-3)) is 12log_{7}(x)-log_{7}(x-3)

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simplify log_{7}((x^{12})/(x-3))

simplify

lo g_{7} (\frac{x ^{12}}{x - 3})

12 lo g_{7} (x) - lo g_{7} (x - 3)

Solution steps

lo g_{7} (\frac{x ^{12}}{x - 3})

Apply log rule:

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

lo g_{7} (\frac{x ^{12}}{x - 3}) = lo g_{7} (x^{12}) - lo g_{7} (x - 3)

= lo g_{7} (x^{12}) - lo g_{7} (x - 3)

Simplify

lo g_{7} (x^{12}) : 12 lo g_{7} (x)

= 12 lo g_{7} (x) - lo g_{7} (x - 3)

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

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

lo g_{2} (5) + lo g_{2} (x) - lo g_{2} (3)

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8 lo g_{b} (x) + 9 lo g_{b} (z)

What is log_{7}((x^{12})/(x-3)) ?
The solution to log_{7}((x^{12})/(x-3)) is 12log_{7}(x)-log_{7}(x-3)