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Popular >

simplify ln((x^3)/2)

Solution

simplify

ln (\frac{x ^{3}}{2})

Solution

3 ln (x) - ln (2)

Solution steps

ln (\frac{x ^{3}}{2})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x ^{3}}{2}) = ln (x^{3}) - ln (2)

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

Apply log rule:

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

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

= 3 ln (x) - ln (2)

Popular Examples

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\frac{3 ln ( 7 )}{ln ( 14 ) - ln ( 7 )}

join 2log_{m/n}(x)join

2 lo g_{\frac{m}{n}} (x)

expand log_{a}((b^3)/(c^4d^7))expand

lo g_{a} (\frac{b ^{3}}{c ^{4} d ^{7}})

simplify 4ln(x)-1/6 ln(y)simplify

4 ln (x) - \frac{1}{6} ln (y)

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lo g_{10} (32 x)

Frequently Asked Questions (FAQ)

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