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Popular >

simplify ln((x^c-a)/(x^c))

Solution

simplify

ln (\frac{x ^{c} - a}{x ^{c}})

Solution

ln (x^{c} - a) - c ln (x)

Solution steps

ln (\frac{x ^{c} - a}{x ^{c}})

Apply log rule:

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

ln (\frac{x ^{c} - a}{x ^{c}}) = ln (x^{c} - a) - ln (x^{c})

= ln (x^{c} - a) - ln (x^{c})

Apply log rule:

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

ln (x^{c}) = c ln (x)

= ln (x^{c} - a) - c ln (x)

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln((x^c-a)/(x^c)) ?
The solution to ln((x^c-a)/(x^c)) is ln(x^c-a)-cln(x)