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Popular >

simplify ln(x+1)2+ln(y+1)3

Solution

simplify

ln (x + 1) 2 + ln (y + 1) 3

Solution

ln ((x + 1)^{2} (y + 1)^{3})

Solution steps

ln (x + 1) \cdot 2 + ln (y + 1) \cdot 3

Apply log rule:

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

2 ln (x + 1) = ln ((x + 1)^{2})

= ln ((x + 1)^{2}) + 3 ln (y + 1)

Apply log rule:

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

3 ln (y + 1) = ln ((y + 1)^{3})

= ln ((x + 1)^{2}) + ln ((y + 1)^{3})

Apply log rule:

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

ln ((x + 1)^{2}) + ln ((y + 1)^{3}) = ln ((y + 1)^{3} (x + 1)^{2})

= ln ((x + 1)^{2} (y + 1)^{3})

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Frequently Asked Questions (FAQ)

What is ln(x+1)2+ln(y+1)3 ?
The solution to ln(x+1)2+ln(y+1)3 is ln((x+1)^2(y+1)^3)