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Popular >

simplify 5ln(x)+6ln(y)

Solution

simplify

5 ln (x) + 6 ln (y)

Solution

ln (x^{5} y^{6})

Solution steps

5 ln (x) + 6 ln (y)

Apply log rule:

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

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

= ln (x^{5}) + 6 ln (y)

Apply log rule:

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

6 ln (y) = ln (y^{6})

= ln (x^{5}) + ln (y^{6})

Apply log rule:

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

ln (x^{5}) + ln (y^{6}) = ln (x^{5} y^{6})

= ln (x^{5} y^{6})

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lo g_{10} (\frac{7 x ( 2 - x )}{2 ( x - 1 ) ^{3}})

simplify ln(1000000/415382)simplify

ln (\frac{1000000}{415382})

simplify log_{10}(x)-6log_{10}(y)+7log_{10}(z)simplify

lo g_{10} (x) - 6 lo g_{10} (y) + 7 lo g_{10} (z)

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ln (\frac{e ^{5}}{11})

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lo g_{2} (393) - lo g_{2} (7) + 6

Frequently Asked Questions (FAQ)

What is 5ln(x)+6ln(y) ?
The solution to 5ln(x)+6ln(y) is ln(x^5y^6)