What is 2log_{10}(9)-2log_{10}(x) ?

The solution to 2log_{10}(9)-2log_{10}(x) is log_{10}((81)/(x^2))

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simplify 2log_{10}(9)-2log_{10}(x)

simplify

2 lo g_{10} (9) - 2 lo g_{10} (x)

lo g_{10} (\frac{81}{x ^{2}})

Solution steps

2 lo g_{10} (9) - 2 lo g_{10} (x)

2 lo g_{10} (9) = lo g_{10} (9^{2})

- 2 lo g_{10} (x) = - lo g_{10} (x^{2})

= lo g_{10} (9^{2}) - lo g_{10} (x^{2})

Apply log rule:

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

lo g_{10} (9^{2}) - lo g_{10} (x^{2}) = lo g_{10} (\frac{9 ^{2}}{x ^{2}})

= lo g_{10} (\frac{9 ^{2}}{x ^{2}})

Simplify

\frac{9 ^{2}}{x ^{2}} : \frac{81}{x ^{2}}

= lo g_{10} (\frac{81}{x ^{2}})

ln (e (x + 2))

lo g_{10} (f) - \frac{1}{3} lo g_{10} (g) + 4 lo g_{10} (h)

ln (\frac{10 - 0.319}{22.4 - 0.319})

ln (x) + ln (- \frac{y}{x} + 1)

What is 2log_{10}(9)-2log_{10}(x) ?
The solution to 2log_{10}(9)-2log_{10}(x) is log_{10}((81)/(x^2))