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Popular >

simplify ln(x/(y^{22)})

Solution

simplify

ln (\frac{x}{y ^{22}})

Solution

ln (x) - 22 ln (y)

Solution steps

ln (\frac{x}{y ^{22}})

Apply log rule:

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

ln (\frac{x}{y ^{22}}) = ln (x) - ln (y^{22})

= ln (x) - ln (y^{22})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (y^{22}) = 22 ln (y)

= ln (x) - 22 ln (y)

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Frequently Asked Questions (FAQ)

What is ln(x/(y^{22)}) ?
The solution to ln(x/(y^{22)}) is ln(x)-22ln(y)