What is 4log_{10}(4)-2log_{10}(x) ?

The solution to 4log_{10}(4)-2log_{10}(x) is log_{10}((256)/(x^2))

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simplify 4log_{10}(4)-2log_{10}(x)

simplify

4 lo g_{10} (4) - 2 lo g_{10} (x)

lo g_{10} (\frac{256}{x ^{2}})

Solution steps

4 lo g_{10} (4) - 2 lo g_{10} (x)

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

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

= lo g_{10} (4^{4}) - 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} (4^{4}) - lo g_{10} (x^{2}) = lo g_{10} (\frac{4 ^{4}}{x ^{2}})

= lo g_{10} (\frac{4 ^{4}}{x ^{2}})

Simplify

\frac{4 ^{4}}{x ^{2}} : \frac{256}{x ^{2}}

= lo g_{10} (\frac{256}{x ^{2}})

lo g_{4} (x z^{3})

lo g_{2} (\frac{4 ( x - 1 ) ^{\frac{1}{2}}}{x + 4})

- lo g_{10} (x + 6) + lo g_{10} (x - 5)

3 lo g_{10} (2 x)

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

What is 4log_{10}(4)-2log_{10}(x) ?
The solution to 4log_{10}(4)-2log_{10}(x) is log_{10}((256)/(x^2))