What is 4log_{10}(10^{-4}x10^3) ?

The solution to 4log_{10}(10^{-4}x10^3) is -4+4log_{10}(x)

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simplify 4log_{10}(10^{-4}x10^3)

simplify

4 lo g_{10} (1 0^{- 4} x 1 0^{3})

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

Solution steps

4 lo g_{10} (1 0^{- 4} x \cdot 1 0^{3})

Simplify

lo g_{10} (1 0^{- 4} x \cdot 1 0^{3}) : - 1 + lo g_{10} (x)

= 4 (- 1 + lo g_{10} (x))

Expand

4 (- 1 + lo g_{10} (x)) : - 4 + 4 lo g_{10} (x)

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

ln (\frac{563}{760})

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

2 ln (x) + 7 ln (z)

ln (\frac{e ^{8}}{11})

ln (\frac{3}{13})

What is 4log_{10}(10^{-4}x10^3) ?
The solution to 4log_{10}(10^{-4}x10^3) is -4+4log_{10}(x)