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Popular >

simplify 13ln(20x^2)

Solution

simplify

13 ln (20 x^{2})

Solution

13 ln (20) + 26 ln (x)

Solution steps

13 ln (20 x^{2})

Apply log rule:

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

13 ln (20 x^{2}) = 13 ln (20) + 13 ln (x^{2})

= 13 ln (20) + 13 ln (x^{2})

Apply log rule:

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

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

= 13 ln (20) + 13 \cdot 2 ln (x)

Multiply the numbers:

13 \cdot 2 = 26

= 13 ln (20) + 26 ln (x)

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Frequently Asked Questions (FAQ)

What is 13ln(20x^2) ?
The solution to 13ln(20x^2) is 13ln(20)+26ln(x)