What is simplify-log_{10}(7.6*10^{-8}) ?

The solution to simplify-log_{10}(7.6*10^{-8}) is -log_{10}(7.6)+8

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simplify-log_{10}(7.6*10^{-8})

simplify

- lo g_{10} (7.6 \cdot 1 0^{- 8})

- lo g_{10} (7.6) + 8

Decimal Notation

7.11918 \dots

Solution steps

- lo g_{10} (7.6 \cdot 1 0^{- 8})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (7.6 \cdot 1 0^{- 8}) = lo g_{10} (7.6) + lo g_{10} (1 0^{- 8})

= - (lo g_{10} (7.6) + lo g_{10} (1 0^{- 8}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (1 0^{- 8}) = - 8 lo g_{10} (10)

= - (lo g_{10} (7.6) - 8 lo g_{10} (10))

8 lo g_{10} (10) = 8

= - (lo g_{10} (7.6) - 8)

Distribute parentheses

= - (lo g_{10} (7.6)) - (- 8)

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - lo g_{10} (7.6) + 8

- \frac{ln ( 6 )}{9 ln ( 5 )}

lo g_{e} (\frac{a ^{x} e ^{- a}}{x !})

ln (\frac{- e ^{- x}}{1 - e ^{- x}})

\frac{1}{- 0.2} ln (\frac{\frac{1001}{76}}{90}) - 9

5 lo g_{2} (c) + \frac{1}{3} lo g_{2} (d)

What is simplify-log_{10}(7.6*10^{-8}) ?
The solution to simplify-log_{10}(7.6*10^{-8}) is -log_{10}(7.6)+8