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Popular >

simplify 4ln(x)+5ln(y)

Solution

simplify

4 ln (x) + 5 ln (y)

Solution

ln (x^{4} y^{5})

Solution steps

4 ln (x) + 5 ln (y)

Apply log rule:

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

4 ln (x) = ln (x^{4})

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

Apply log rule:

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

5 ln (y) = ln (y^{5})

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

Apply log rule:

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

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

= ln (x^{4} y^{5})

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Frequently Asked Questions (FAQ)

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