What is simplify-log_{10}(7*10^{-6}) ?

The solution to simplify-log_{10}(7*10^{-6}) is -log_{10}(7)+6

Popular >

simplify-log_{10}(7*10^{-6})

simplify

- lo g_{10} (7 \cdot 1 0^{- 6})

- lo g_{10} (7) + 6

Decimal Notation

5.15490 \dots

Solution steps

- lo g_{10} (7 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (7 \cdot 1 0^{- 6}) = lo g_{10} (7) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (7) + 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} (7) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (7) - 6)

Distribute parentheses

= - (lo g_{10} (7)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (7) + 6

ln (\frac{10}{6})

lo g_{5} (a) + \frac{1}{3} lo g_{5} (b)

ln (\frac{( x - 1 ) ^{3} ( x - 2 )}{x - 3})

lo g_{10} (7 x^{3} y)

ln (\frac{x}{2 y})

What is simplify-log_{10}(7*10^{-6}) ?
The solution to simplify-log_{10}(7*10^{-6}) is -log_{10}(7)+6