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Popular >

simplify ln(a(a+1)^5)

Solution

simplify

ln (a (a + 1)^{5})

Solution

ln (a) + 5 ln (a + 1)

Solution steps

ln (a (a + 1)^{5})

Apply log rule:

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

ln (a (a + 1)^{5}) = ln (a) + ln ((a + 1)^{5})

= ln (a) + ln ((a + 1)^{5})

Apply log rule:

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

ln ((a + 1)^{5}) = 5 ln (a + 1)

= ln (a) + 5 ln (a + 1)

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Frequently Asked Questions (FAQ)

What is ln(a(a+1)^5) ?
The solution to ln(a(a+1)^5) is ln(a)+5ln(a+1)