What is simplify-log_{10}(4.25*10^{-7}) ?

The solution to simplify-log_{10}(4.25*10^{-7}) is -log_{10}(4.25)+7

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simplify-log_{10}(4.25*10^{-7})

simplify

- lo g_{10} (4.25 \cdot 1 0^{- 7})

- lo g_{10} (4.25) + 7

Decimal Notation

6.37161 \dots

Solution steps

- lo g_{10} (4.25 \cdot 1 0^{- 7})

Apply log rule:

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

lo g_{10} (4.25 \cdot 1 0^{- 7}) = lo g_{10} (4.25) + lo g_{10} (1 0^{- 7})

= - (lo g_{10} (4.25) + lo g_{10} (1 0^{- 7}))

Apply log rule:

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

lo g_{10} (1 0^{- 7}) = - 7 lo g_{10} (10)

= - (lo g_{10} (4.25) - 7 lo g_{10} (10))

7 lo g_{10} (10) = 7

= - (lo g_{10} (4.25) - 7)

Distribute parentheses

= - (lo g_{10} (4.25)) - (- 7)

Apply minus-plus rules

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

= - lo g_{10} (4.25) + 7

2 lo g_{2} (x) + lo g_{2} (y)

\frac{1}{32} ln (x + 2) - \frac{1}{32} ln (x - 2)

lo g_{9} ((\frac{8 ^{5}}{11})^{4})

4 lo g_{5} (x) - 6 lo g_{5} (y)

\frac{d}{d x} (cos (2 ln (x))) + \frac{107}{5 ( x )}

What is simplify-log_{10}(4.25*10^{-7}) ?
The solution to simplify-log_{10}(4.25*10^{-7}) is -log_{10}(4.25)+7