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Popular >

simplify ln(3x^5)

Solution

simplify

ln (3 x^{5})

Solution

ln (3) + 5 ln (x)

Solution steps

ln (3 x^{5})

Apply log rule:

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

ln (3 x^{5}) = ln (3) + ln (x^{5})

= ln (3) + ln (x^{5})

Apply log rule:

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

ln (x^{5}) = 5 ln (x)

= ln (3) + 5 ln (x)

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Frequently Asked Questions (FAQ)

What is ln(3x^5) ?
The solution to ln(3x^5) is ln(3)+5ln(x)