What is 4log_{10}(6)-3log_{10}(x) ?

The solution to 4log_{10}(6)-3log_{10}(x) is log_{10}((1296)/(x^3))

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simplify 4log_{10}(6)-3log_{10}(x)

simplify

4 lo g_{10} (6) - 3 lo g_{10} (x)

lo g_{10} (\frac{1296}{x ^{3}})

Solution steps

4 lo g_{10} (6) - 3 lo g_{10} (x)

4 lo g_{10} (6) = lo g_{10} (6^{4})

- 3 lo g_{10} (x) = - lo g_{10} (x^{3})

= lo g_{10} (6^{4}) - lo g_{10} (x^{3})

Apply log rule:

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

lo g_{10} (6^{4}) - lo g_{10} (x^{3}) = lo g_{10} (\frac{6 ^{4}}{x ^{3}})

= lo g_{10} (\frac{6 ^{4}}{x ^{3}})

Simplify

\frac{6 ^{4}}{x ^{3}} : \frac{1296}{x ^{3}}

= lo g_{10} (\frac{1296}{x ^{3}})

\frac{1}{9} (7 lo g_{c} (x) - lo g_{c} (y^{9} z^{5}))

3 ln (x + 4) - ln (x)

lo g_{10} (\frac{4 x}{y})

lo g_{10} (\frac{x ^{15} y ^{13}}{z ^{19}})

lo g_{3} (y) - lo g_{3} (4)

What is 4log_{10}(6)-3log_{10}(x) ?
The solution to 4log_{10}(6)-3log_{10}(x) is log_{10}((1296)/(x^3))