simplify ln(100/10)

Solution

simplify

ln (\frac{100}{10})

ln (10)

Decimal Notation

2.30258 \dots

Solution steps

ln (\frac{100}{10})

Apply log rule:

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

ln (\frac{100}{10}) = ln (100) - ln (10)

= ln (100) - ln (10)

ln (100) = 2 ln (10)

= 2 ln (10) - ln (10)

Add similar elements:

2 ln (10) - ln (10) = ln (10)

= ln (10)

lo g_{4} (\frac{3 x ^{2}}{y ^{3}})

ln (\frac{( x y ^{4} )}{z ^{3}})

- lo g_{10} (1.5 \cdot 1 0^{- 7})

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

ln (\frac{8}{3.1 4 ^{2}} \cdot \frac{( 230 - 50 )}{( 65 - 50 )})