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Popular >

simplify ln(px^{p-2})

Solution

simplify

ln (p x^{p - 2})

Solution

ln (p) + (p - 2) ln (x)

Solution steps

ln (p x^{p - 2})

Apply log rule:

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

ln (p x^{p - 2}) = ln (p) + ln (x^{p - 2})

= ln (p) + ln (x^{p - 2})

Apply log rule:

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

ln (x^{p - 2}) = (p - 2) ln (x)

= ln (p) + (p - 2) ln (x)

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Frequently Asked Questions (FAQ)

What is ln(px^{p-2}) ?
The solution to ln(px^{p-2}) is ln(p)+(p-2)ln(x)