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Popular >

simplify ln(ky)-ln(kx)

Solution

simplify

ln (k y) - ln (k x)

Solution

ln (\frac{y}{x})

Solution steps

ln (k y) - ln (k x)

Apply log rule:

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

ln (k y) - ln (k x) = ln (\frac{k y}{k x})

= ln (\frac{k y}{k x})

Cancel the common factor:

k

= ln (\frac{y}{x})

Popular Examples

simplify ln(24)-8ln(2)simplify

ln (24) - 8 ln (2)

simplify ln(x^2+1)+ln(x^2+3)simplify

ln (x^{2} + 1) + ln (x^{2} + 3)

simplify ln(8u)+38u-3 simplify

ln (8 u) + 38 u - 3

simplify ln(5x^2(x^2+5)^3)simplify

ln (5 x^{2} (x^{2} + 5)^{3})

log_{(pi/2)^-}((tan(x))^{pi/2-x})

lo g_{(\frac{π}{2})^{-}} ((tan (x))^{\frac{π}{2} - x})

Frequently Asked Questions (FAQ)

What is ln(ky)-ln(kx) ?
The solution to ln(ky)-ln(kx) is ln(y/x)