What is simplify-log_{10}(8*10^{-6}) ?

The solution to simplify-log_{10}(8*10^{-6}) is -3log_{10}(2)+6

Popular >

simplify-log_{10}(8*10^{-6})

simplify

- lo g_{10} (8 \cdot 1 0^{- 6})

- 3 lo g_{10} (2) + 6

Decimal Notation

5.09691 \dots

Solution steps

- lo g_{10} (8 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (8 \cdot 1 0^{- 6}) = lo g_{10} (8) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (8) + 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) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (8) - 6)

lo g_{10} (8) = 3 lo g_{10} (2)

= - (3 lo g_{10} (2) - 6)

Distribute parentheses

= - (3 lo g_{10} (2)) - (- 6)

Apply minus-plus rules

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

= - 3 lo g_{10} (2) + 6

- \frac{1}{4} ln (x + 1) + \frac{1}{4} ln (x - 1)

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

2 ln (x + 1) - 2 ln (x) + 4 ln (3 x + 1)

\frac{1}{3} lo g_{10} (m) - 2 lo g_{10} (n)

ln (\frac{( x ^{2} - 5 x + 3 ) ( x - 5 ) ^{5}}{( 3 x ^{2} + 2 ) ^{6}})

What is simplify-log_{10}(8*10^{-6}) ?
The solution to simplify-log_{10}(8*10^{-6}) is -3log_{10}(2)+6