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Popular >

simplify ln(x^7sqrt(4-x))

Solution

simplify

ln (x^{7} 4 - x)

Solution

7 ln (x) + ln (4 - x)

Solution steps

ln (x^{7} 4 - x)

Apply log rule:

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

ln (x^{7} 4 - x) = ln (x^{7}) + ln (4 - x)

= ln (x^{7}) + ln (- x + 4)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{7}) = 7 ln (x)

= 7 ln (x) + ln (4 - x)

Popular Examples

simplify log_{5}(x-1)+log_{5}(x-2)-log_{5}(x+6)simplify

lo g_{5} (x - 1) + lo g_{5} (x - 2) - lo g_{5} (x + 6)

simplify 4log_{7}(x)-2log_{7}(y)-2log_{7}(z)simplify

4 lo g_{7} (x) - 2 lo g_{7} (y) - 2 lo g_{7} (z)

simplify log_{10}(3x)+7 simplify

lo g_{10} (3 x) + 7

simplify 2(log_{7}(x)+2log_{7}(y)-3log_{7}(z))simplify

2 (lo g_{7} (x) + 2 lo g_{7} (y) - 3 lo g_{7} (z))

simplify 1/2 log_{10}((y+5)/(y-5))simplify

\frac{1}{2} lo g_{10} (\frac{y + 5}{y - 5})

Frequently Asked Questions (FAQ)

What is ln(x^7sqrt(4-x)) ?
The solution to ln(x^7sqrt(4-x)) is 7ln(x)+ln(sqrt(4-x))