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Popular >

simplify ln(x^3e^2)

Solution

simplify

ln (x^{3} e^{2})

Solution

3 ln (x) + 2

Solution steps

ln (x^{3} e^{2})

Apply log rule:

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

ln (x^{3} e^{2}) = ln (x^{3}) + ln (e^{2})

= ln (x^{3}) + ln (e^{2})

Apply log rule:

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

ln (x^{3}) = 3 ln (x)

= 3 ln (x) + ln (e^{2})

Apply log rule:

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

ln (e^{2}) = 2 ln (e)

= 3 ln (x) + 2 ln (e)

2 ln (e) = 2

= 3 ln (x) + 2

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Frequently Asked Questions (FAQ)

What is ln(x^3e^2) ?
The solution to ln(x^3e^2) is 3ln(x)+2