What is simplify-log_{10}(1.9*10^{-8}) ?

The solution to simplify-log_{10}(1.9*10^{-8}) is -log_{10}(1.9)+8

Popular >

simplify-log_{10}(1.9*10^{-8})

simplify

- lo g_{10} (1.9 \cdot 1 0^{- 8})

- lo g_{10} (1.9) + 8

Decimal Notation

7.72124 \dots

Solution steps

- lo g_{10} (1.9 \cdot 1 0^{- 8})

Apply log rule:

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

lo g_{10} (1.9 \cdot 1 0^{- 8}) = lo g_{10} (1.9) + lo g_{10} (1 0^{- 8})

= - (lo g_{10} (1.9) + 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} (1.9) - 8 lo g_{10} (10))

8 lo g_{10} (10) = 8

= - (lo g_{10} (1.9) - 8)

Distribute parentheses

= - (lo g_{10} (1.9)) - (- 8)

Apply minus-plus rules

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

= - lo g_{10} (1.9) + 8

ln (6) + ln (\frac{e ^{(2.47519)}}{3})

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

2 lo g_{a} (x) - 3 lo g_{a} (y)

3 lo g_{c} (y) - \frac{15}{4} lo g_{c} (x)

\frac{1}{3} (6 ln (x + 5) + ln (x) - ln (x^{2} - 6))

What is simplify-log_{10}(1.9*10^{-8}) ?
The solution to simplify-log_{10}(1.9*10^{-8}) is -log_{10}(1.9)+8