What is simplify-log_{10}(5*10^{-15}) ?

The solution to simplify-log_{10}(5*10^{-15}) is -log_{10}(5)+15

Popular >

simplify-log_{10}(5*10^{-15})

simplify

- lo g_{10} (5 \cdot 1 0^{- 15})

- lo g_{10} (5) + 15

Decimal Notation

14.30102 \dots

Solution steps

- lo g_{10} (5 \cdot 1 0^{- 15})

Apply log rule:

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

lo g_{10} (5 \cdot 1 0^{- 15}) = lo g_{10} (5) + lo g_{10} (1 0^{- 15})

= - (lo g_{10} (5) + lo g_{10} (1 0^{- 15}))

Apply log rule:

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

lo g_{10} (1 0^{- 15}) = - 15 lo g_{10} (10)

= - (lo g_{10} (5) - 15 lo g_{10} (10))

15 lo g_{10} (10) = 15

= - (lo g_{10} (5) - 15)

Distribute parentheses

= - (lo g_{10} (5)) - (- 15)

Apply minus-plus rules

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

= - lo g_{10} (5) + 15

lo g_{10} (z x^{5})

2 ln \frac{1}{2} - ln \frac{3}{4}

lo g_{b} ((\frac{x ^{4}}{y ^{3} z ^{2}})^{- 5})

- lo g_{10} (7.1 \cdot 1 0^{- 10})

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

What is simplify-log_{10}(5*10^{-15}) ?
The solution to simplify-log_{10}(5*10^{-15}) is -log_{10}(5)+15