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Popular >

simplify 5ln(x+1)+6ln(x)

Solution

simplify

5 ln (x + 1) + 6 ln (x)

Solution

ln ((x + 1)^{5} x^{6})

Solution steps

5 ln (x + 1) + 6 ln (x)

Apply log rule:

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

5 ln (x + 1) = ln ((x + 1)^{5})

= ln ((x + 1)^{5}) + 6 ln (x)

Apply log rule:

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

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

= ln ((x + 1)^{5}) + ln (x^{6})

Apply log rule:

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

ln ((x + 1)^{5}) + ln (x^{6}) = ln (x^{6} (x + 1)^{5})

= ln ((x + 1)^{5} x^{6})

Popular Examples

simplify 1/2 log_{10}(b)+5log_{10}(c)simplify

\frac{1}{2} lo g_{10} (b) + 5 lo g_{10} (c)

simplify ln(81162081/390625)simplify

ln (\frac{81162081}{390625})

simplify log_{10}((6x)/(x+2))simplify

lo g_{10} (\frac{6 x}{x + 2})

simplify ln(5/10)simplify

ln (\frac{5}{10})

simplify log_{10}((x^2y)/z)simplify

lo g_{10} (\frac{x ^{2} y}{z})

Frequently Asked Questions (FAQ)

What is 5ln(x+1)+6ln(x) ?
The solution to 5ln(x+1)+6ln(x) is ln((x+1)^5x^6)