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Popular >

simplify ln(ke^{x^d})

Solution

simplify

ln (k e^{x^{d}})

Solution

ln (k) + x^{d}

Solution steps

ln (k e^{x^{d}})

Apply log rule:

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

ln (k e^{x^{d}}) = ln (k) + ln (e^{x^{d}})

= ln (k) + ln (e^{x^{d}})

Apply log rule:

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

ln (e^{x^{d}}) = x^{d} ln (e)

= ln (k) + x^{d} ln (e)

x^{d} ln (e) = x^{d}

= ln (k) + x^{d}

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Frequently Asked Questions (FAQ)

What is ln(ke^{x^d}) ?
The solution to ln(ke^{x^d}) is ln(k)+x^d