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Popular >

simplify ln(x)+ln((y/x)^4)

Solution

simplify

ln (x) + ln ((\frac{y}{x})^{4})

Solution

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

Solution steps

ln (x) + ln ((\frac{y}{x})^{4})

Apply log rule:

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

ln (x) + ln ((\frac{y}{x})^{4}) = ln ((\frac{y}{x})^{4} x)

= ln ((\frac{y}{x})^{4} x)

Simplify

x (\frac{y}{x})^{4} : \frac{y ^{4}}{x ^{3}}

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

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Frequently Asked Questions (FAQ)

What is ln(x)+ln((y/x)^4) ?
The solution to ln(x)+ln((y/x)^4) is ln((y^4)/(x^3))