What is ln(3.03625x^{2.13176}) ?

The solution to ln(3.03625x^{2.13176}) is ln(3.03625)+2.13176ln(x)

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simplify ln(3.03625x^{2.13176})

simplify

ln (3.03625 x^{2.13176})

ln (3.03625) + 2.13176 ln (x)

Solution steps

ln (3.03625 x^{2.13176})

Apply log rule:

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

ln (3.03625 x^{2.13176}) = ln (3.03625) + ln (x^{2.13176})

= ln (3.03625) + ln (x^{2.13176})

Apply log rule:

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

ln (x^{2.13176}) = 2.13176 ln (x)

= ln (3.03625) + 2.13176 ln (x)

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What is ln(3.03625x^{2.13176}) ?
The solution to ln(3.03625x^{2.13176}) is ln(3.03625)+2.13176ln(x)