What is 4log_{10}(9)-4log_{10}(x) ?

The solution to 4log_{10}(9)-4log_{10}(x) is log_{10}((6561)/(x^4))

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simplify 4log_{10}(9)-4log_{10}(x)

simplify

4 lo g_{10} (9) - 4 lo g_{10} (x)

lo g_{10} (\frac{6561}{x ^{4}})

Solution steps

4 lo g_{10} (9) - 4 lo g_{10} (x)

4 lo g_{10} (9) = lo g_{10} (9^{4})

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

= lo g_{10} (9^{4}) - lo g_{10} (x^{4})

Apply log rule:

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

lo g_{10} (9^{4}) - lo g_{10} (x^{4}) = lo g_{10} (\frac{9 ^{4}}{x ^{4}})

= lo g_{10} (\frac{9 ^{4}}{x ^{4}})

Simplify

\frac{9 ^{4}}{x ^{4}} : \frac{6561}{x ^{4}}

= lo g_{10} (\frac{6561}{x ^{4}})

ln (\frac{( x + y )}{( x - y )})

lo g_{10} (10 z)

lo g_{3} (\frac{u v ^{2}}{w})

ln (e (x + 8))

lo g_{10} (\frac{y ^{4}}{z x ^{7}})

What is 4log_{10}(9)-4log_{10}(x) ?
The solution to 4log_{10}(9)-4log_{10}(x) is log_{10}((6561)/(x^4))