What is 2log_{10}(8)-4log_{10}(x) ?

The solution to 2log_{10}(8)-4log_{10}(x) is log_{10}((64)/(x^4))

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simplify 2log_{10}(8)-4log_{10}(x)

simplify

2 lo g_{10} (8) - 4 lo g_{10} (x)

lo g_{10} (\frac{64}{x ^{4}})

Solution steps

2 lo g_{10} (8) - 4 lo g_{10} (x)

2 lo g_{10} (8) = lo g_{10} (8^{2})

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

= lo g_{10} (8^{2}) - 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} (8^{2}) - lo g_{10} (x^{4}) = lo g_{10} (\frac{8 ^{2}}{x ^{4}})

= lo g_{10} (\frac{8 ^{2}}{x ^{4}})

Simplify

\frac{8 ^{2}}{x ^{4}} : \frac{64}{x ^{4}}

= lo g_{10} (\frac{64}{x ^{4}})

ln (\frac{1.308 x 1 0 ^{- 4}}{6.44 x 1 0 ^{- 3}})

ln (x) - ln (a)

2 ln (x) - ln^{2} (x)

5 lo g_{10} (x) - 2 lo g_{10} (x + 1)

What is 2log_{10}(8)-4log_{10}(x) ?
The solution to 2log_{10}(8)-4log_{10}(x) is log_{10}((64)/(x^4))