What is simplify-log_{10}(2.9*10^{-8}) ?

The solution to simplify-log_{10}(2.9*10^{-8}) is -log_{10}(2.9)+8

Popular >

simplify-log_{10}(2.9*10^{-8})

simplify

- lo g_{10} (2.9 \cdot 1 0^{- 8})

- lo g_{10} (2.9) + 8

Decimal Notation

7.53760 \dots

Solution steps

- lo g_{10} (2.9 \cdot 1 0^{- 8})

Apply log rule:

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

lo g_{10} (2.9 \cdot 1 0^{- 8}) = lo g_{10} (2.9) + lo g_{10} (1 0^{- 8})

= - (lo g_{10} (2.9) + 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} (2.9) - 8 lo g_{10} (10))

8 lo g_{10} (10) = 8

= - (lo g_{10} (2.9) - 8)

Distribute parentheses

= - (lo g_{10} (2.9)) - (- 8)

Apply minus-plus rules

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

= - lo g_{10} (2.9) + 8

lo g_{3} (\frac{x}{27})

lo g_{b} (x^{6} y)

\frac{1}{8} ln (x) + ln (y)

7 lo g_{2} (x) - \frac{1}{3} lo g_{2} (y)

lo g_{10} (2) + lo g_{10} (7)

What is simplify-log_{10}(2.9*10^{-8}) ?
The solution to simplify-log_{10}(2.9*10^{-8}) is -log_{10}(2.9)+8