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Popular >

simplify 0.5ln(16x^2)

Solution

simplify

0.5 ln (16 x^{2})

Solution

2 ln (2) + ln (x)

Solution steps

0.5 ln (16 x^{2})

Apply log rule:

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

0.5 ln (16 x^{2}) = 0.5 ln (16) + 0.5 ln (x^{2})

= 0.5 ln (16) + 0.5 ln (x^{2})

Apply log rule:

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

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

= 0.5 ln (16) + 0.5 \cdot 2 ln (x)

Multiply:

0.5 \cdot 2 ln (x) = ln (x)

= 0.5 ln (16) + ln (x)

0.5 ln (16) = 2 ln (2)

= 2 ln (2) + ln (x)

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Frequently Asked Questions (FAQ)

What is 0.5ln(16x^2) ?
The solution to 0.5ln(16x^2) is 2ln(2)+ln(x)