simplify ln((1n)/1)

Solution

simplify

ln (\frac{1 n}{1})

ln (n)

Solution steps

ln (\frac{1 \cdot n}{1})

Apply log rule:

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

ln (\frac{1 \cdot n}{1}) = ln (1 \cdot n) - ln (1)

= ln (1 \cdot n) - ln (1)

Apply log rule:

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

ln (1 \cdot n) = ln (1) + ln (n)

= ln (1) + ln (n) - ln (1)

Simplify

ln (1) + ln (n) - ln (1) : ln (n)

= ln (n)

ln (5 \cdot 1 0^{- 4})

- lo g_{10} (7.56 \cdot 1 0^{6})

ln (373 e^{- x + 9} e^{2 y + 14})

lo g_{5} (x) + 3 lo g_{5} (y)

lo g_{10} (\frac{x ^{3}}{7})