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Popular >

simplify 2ln(5x^2)+4

Solution

simplify

2 ln (5 x^{2}) + 4

Solution

2 ln (5) + 4 ln (x) + 4

Solution steps

2 ln (5 x^{2}) + 4

Apply log rule:

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

2 ln (5 x^{2}) = 2 ln (5) + 2 ln (x^{2})

= 2 ln (5) + 2 ln (x^{2}) + 4

Apply log rule:

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

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

= 2 ln (5) + 2 \cdot 2 ln (x) + 4

Multiply the numbers:

2 \cdot 2 = 4

= 2 ln (5) + 4 ln (x) + 4

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Frequently Asked Questions (FAQ)

What is 2ln(5x^2)+4 ?
The solution to 2ln(5x^2)+4 is 2ln(5)+4ln(x)+4