What is ln((ex)/y)-ln(y/(ex)) ?

The solution to ln((ex)/y)-ln(y/(ex)) is ln((e^2x^2)/(y^2))

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simplify ln((ex)/y)-ln(y/(ex))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

ln (z) - ln (x) - ln (y)

6 lo g_{10} (q) + lo g_{10} (x)

ln (\frac{0.8}{2})

lo g_{b} (5 x y)

\frac{1}{2} lo g_{10} (a) + 5 lo g_{10} (b)

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