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Popular >

simplify 2ln(2)+2ln(x)

Solution

simplify

2 ln (2) + 2 ln (x)

Solution

ln (4 x^{2})

Solution steps

2 ln (2) + 2 ln (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

2^{2} = 4

= ln (4 x^{2})

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Frequently Asked Questions (FAQ)

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