What is simplify-log_{10}(8.76275*10^{-6}) ?

The solution to simplify-log_{10}(8.76275*10^{-6}) is -log_{10}(8.76275)+6

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simplify-log_{10}(8.76275*10^{-6})

simplify

- lo g_{10} (8.76275 \cdot 1 0^{- 6})

- lo g_{10} (8.76275) + 6

Decimal Notation

5.05735 \dots

Solution steps

- lo g_{10} (8.76275 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (8.76275 \cdot 1 0^{- 6}) = lo g_{10} (8.76275) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (8.76275) + lo g_{10} (1 0^{- 6}))

Apply log rule:

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

lo g_{10} (1 0^{- 6}) = - 6 lo g_{10} (10)

= - (lo g_{10} (8.76275) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (8.76275) - 6)

Distribute parentheses

= - (lo g_{10} (8.76275)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (8.76275) + 6

\frac{ln ( 3 )}{2 ln ( 2 )} - 2

20 \cdot lo g_{10} (\frac{4 \cdot π \cdot 2}{0.46})

7.952707 ln (6000 x^{0.8})

ln (\frac{e ^{x}}{x ( x + 3 ) ^{2}})

\frac{1}{2} ln (y) - \frac{1}{2} ln (y + 2)

What is simplify-log_{10}(8.76275*10^{-6}) ?
The solution to simplify-log_{10}(8.76275*10^{-6}) is -log_{10}(8.76275)+6