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Popular >

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

Solution

simplify

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

Solution

ln (a + 1) + a ln (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (a + 1) + a ln (x)

Popular Examples

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ln (- 6 \cdot \frac{e ^{2.39209}}{3})

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ln (2) \frac{1}{1590}

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ln (e^{1} + 1) - ln (e^{0} + 1)

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Frequently Asked Questions (FAQ)

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