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Popular >

simplify ln(y/x)-ln(x)

Solution

simplify

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

Solution

ln (\frac{y}{x ^{2}})

Solution steps

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

Apply log rule:

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

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

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

Simplify

\frac{\frac{y}{x}}{x} : \frac{y}{x ^{2}}

= ln (\frac{y}{x ^{2}})

Popular Examples

simplify ln(bx)simplify

ln (b x)

simplify 2log_{10}(x)+6log_{10}(x+4)simplify

2 lo g_{10} (x) + 6 lo g_{10} (x + 4)

simplify ln(3)-ln(2)-ln(2)simplify

ln (3) - ln (2) - ln (2)

simplify log_{10}(2*10^{-7})simplify

lo g_{10} (2 \cdot 1 0^{- 7})

simplify ln(2)+3ln(3)simplify

ln (2) + 3 ln (3)

Frequently Asked Questions (FAQ)

What is ln(y/x)-ln(x) ?
The solution to ln(y/x)-ln(x) is ln(y/(x^2))