What is simplify-log_{10}(1.8*10^{-4})+log_{10}(1/(1.5)) ?

The solution to simplify-log_{10}(1.8*10^{-4})+log_{10}(1/(1.5)) is log_{10}(3703.70370…)

Popular >

simplify-log_{10}(1.8*10^{-4})+log_{10}(1/(1.5))

simplify

- lo g_{10} (1.8 \cdot 1 0^{- 4}) + lo g_{10} (\frac{1}{1.5})

lo g_{10} (3703.70370 \dots)

Decimal Notation

3.56863 \dots

Solution steps

- lo g_{10} (1.8 \cdot 1 0^{- 4}) + lo g_{10} (\frac{1}{1.5})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (\frac{1}{1.5}) - lo g_{10} (1 0^{- 4} \cdot 1.8) = lo g_{10} (\frac{\frac{1}{1.5}}{1 0 ^{- 4} \cdot 1.8})

= lo g_{10} (\frac{\frac{1}{1.5}}{1.8 \cdot 1 0 ^{- 4}})

\frac{\frac{1}{1.5}}{1.8 \cdot 1 0 ^{- 4}} = 3703.70370 \dots

= lo g_{10} (3703.70370 \dots)

ln (e^{5} \cdot 3^{2 l o g_{3} (3)})

ln (\frac{m ! e ^{- x}}{( 1 + x ) ^{m + 1}})

ln (x \cdot x)

lo g_{10} (\frac{[ 0.5 ]}{[ 0.4 ]}) + 3.77

ln (\frac{2 x + 1}{x + 2})

What is simplify-log_{10}(1.8*10^{-4})+log_{10}(1/(1.5)) ?
The solution to simplify-log_{10}(1.8*10^{-4})+log_{10}(1/(1.5)) is log_{10}(3703.70370…)