What is simplify-log_{10}(1.4*10^{-4}) ?

The solution to simplify-log_{10}(1.4*10^{-4}) is -log_{10}(1.4)+4

Popular >

simplify-log_{10}(1.4*10^{-4})

simplify

- lo g_{10} (1.4 \cdot 1 0^{- 4})

- lo g_{10} (1.4) + 4

Decimal Notation

3.85387 \dots

Solution steps

- lo g_{10} (1.4 \cdot 1 0^{- 4})

Apply log rule:

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

lo g_{10} (1.4 \cdot 1 0^{- 4}) = lo g_{10} (1.4) + lo g_{10} (1 0^{- 4})

= - (lo g_{10} (1.4) + lo g_{10} (1 0^{- 4}))

Apply log rule:

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

lo g_{10} (1 0^{- 4}) = - 4 lo g_{10} (10)

= - (lo g_{10} (1.4) - 4 lo g_{10} (10))

4 lo g_{10} (10) = 4

= - (lo g_{10} (1.4) - 4)

Distribute parentheses

= - (lo g_{10} (1.4)) - (- 4)

Apply minus-plus rules

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

= - lo g_{10} (1.4) + 4

lo g_{10} (\frac{x}{1 - x})

lo g_{10} (\frac{y}{z ^{6}})

2 lo g_{b} (x) + 6 lo g_{b} (z)

lo g_{2} (\frac{( 2 x ^{6} )}{y})

lo g_{a} (x^{2} - 4) - lo g_{a} (x - 2)

What is simplify-log_{10}(1.4*10^{-4}) ?
The solution to simplify-log_{10}(1.4*10^{-4}) is -log_{10}(1.4)+4