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Popular >

simplify ln((x+5)^2*x)

Solution

simplify

ln ((x + 5)^{2} \cdot x)

Solution

2 ln (x + 5) + ln (x)

Solution steps

ln ((x + 5)^{2} x)

Apply log rule:

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

ln ((x + 5)^{2} x) = ln ((x + 5)^{2}) + ln (x)

= ln ((x + 5)^{2}) + ln (x)

Apply log rule:

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

ln ((x + 5)^{2}) = 2 ln (x + 5)

= 2 ln (x + 5) + ln (x)

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Frequently Asked Questions (FAQ)

What is ln((x+5)^2*x) ?
The solution to ln((x+5)^2*x) is 2ln(x+5)+ln(x)