What is simplify-log_{10}(3.34272*10^{-3}) ?

The solution to simplify-log_{10}(3.34272*10^{-3}) is -log_{10}(3.34272)+3

Popular >

simplify-log_{10}(3.34272*10^{-3})

simplify

- lo g_{10} (3.34272 \cdot 1 0^{- 3})

- lo g_{10} (3.34272) + 3

Decimal Notation

2.47590 \dots

Solution steps

- lo g_{10} (3.34272 \cdot 1 0^{- 3})

Apply log rule:

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

lo g_{10} (3.34272 \cdot 1 0^{- 3}) = lo g_{10} (3.34272) + lo g_{10} (1 0^{- 3})

= - (lo g_{10} (3.34272) + lo g_{10} (1 0^{- 3}))

Apply log rule:

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

lo g_{10} (1 0^{- 3}) = - 3 lo g_{10} (10)

= - (lo g_{10} (3.34272) - 3 lo g_{10} (10))

3 lo g_{10} (10) = 3

= - (lo g_{10} (3.34272) - 3)

Distribute parentheses

= - (lo g_{10} (3.34272)) - (- 3)

Apply minus-plus rules

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

= - lo g_{10} (3.34272) + 3

\frac{60}{2.5} ln (\frac{0.116}{0.039})

\frac{125 \cdot 1.5}{200 \cdot 25 \cdot 50} \cdot ln (\frac{150}{100})

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

(\frac{1}{- 0.223}) ln (\frac{1}{2})

- 578.2 - 3000 (ln (22501) - ln (32000))

What is simplify-log_{10}(3.34272*10^{-3}) ?
The solution to simplify-log_{10}(3.34272*10^{-3}) is -log_{10}(3.34272)+3