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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

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lo g_{7} (\frac{x + 8}{5 x - 10})

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3.8 + lo g_{10} (\frac{0.48}{0.22})

expand log_{b}(x^4z)expand

lo g_{b} (x^{4} z)

Frequently Asked Questions (FAQ)

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