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Popular >

simplify ln(2x^3)

Solution

simplify

ln (2 x^{3})

Solution

ln (2) + 3 ln (x)

Solution steps

ln (2 x^{3})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (2) + 3 ln (x)

Popular Examples

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\frac{1}{2} lo g_{10} (x) + lo g_{10} (y) - 4 lo g_{10} (z)

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Frequently Asked Questions (FAQ)

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