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

The solution to log_{7}(12x)-log_{7}(7x^3) is log_{7}((12)/(7x^2))

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

simplify

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

lo g_{7} (\frac{12}{7 x ^{2}})

Solution steps

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

Apply log rule:

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

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

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

Simplify

\frac{x}{x ^{3}} : \frac{1}{x ^{2}}

= lo g_{7} (\frac{12}{7 x ^{2}})

\frac{1}{2} lo g_{6} (x) + lo g_{6} (y)

lo g_{5} (8) + lo g_{5} (3)

ln (6 a) - 4 ln (b) - ln (2 a)

0.0259 ln (\frac{2 \cdot 1 0 ^{5}}{2.8 \cdot 1 0 ^{19}})

lo g_{10} (x + 3) - lo g_{10} (2 x)

What is log_{7}(12x)-log_{7}(7x^3) ?
The solution to log_{7}(12x)-log_{7}(7x^3) is log_{7}((12)/(7x^2))