What is 10log_{10}((5x10^{-8})/(10^{-12)}) ?

The solution to 10log_{10}((5x10^{-8})/(10^{-12)}) is 10log_{10}(5)+10log_{10}(x)+40

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simplify 10log_{10}((5x10^{-8})/(10^{-12)})

simplify

10 lo g_{10} (\frac{5 x 1 0 ^{- 8}}{1 0 ^{- 12}})

10 lo g_{10} (5) + 10 lo g_{10} (x) + 40

Solution steps

10 lo g_{10} (\frac{5 x \cdot 1 0 ^{- 8}}{1 0 ^{- 12}})

Simplify

lo g_{10} (\frac{5 x \cdot 1 0 ^{- 8}}{1 0 ^{- 12}}) : lo g_{10} (5) + lo g_{10} (x) + 4

= 10 (lo g_{10} (5) + lo g_{10} (x) + 4)

Expand

10 (lo g_{10} (5) + lo g_{10} (x) + 4) : 10 lo g_{10} (5) + 10 lo g_{10} (x) + 40

= 10 lo g_{10} (5) + 10 lo g_{10} (x) + 40

lo g_{5} (\frac{x ^{e}}{y π})

ln (2 e^{2 x} x)

lo g_{2} (8 x)

lo g_{3} (54) + lo g_{3} (10) - lo g_{3} (54)

- (\frac{5}{7} lo g_{2} (\frac{5}{7}) + \frac{2}{7} lo g_{2} (\frac{2}{7}))

What is 10log_{10}((5x10^{-8})/(10^{-12)}) ?
The solution to 10log_{10}((5x10^{-8})/(10^{-12)}) is 10log_{10}(5)+10log_{10}(x)+40