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Popular >

simplify ln(x^8sqrt(2-x))

Solution

simplify

ln (x^{8} 2 - x)

Solution

8 ln (x) + ln (2 - x)

Solution steps

ln (x^{8} 2 - x)

Apply log rule:

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

ln (x^{8} 2 - x) = ln (x^{8}) + ln (2 - x)

= ln (x^{8}) + ln (- x + 2)

Apply log rule:

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

ln (x^{8}) = 8 ln (x)

= 8 ln (x) + ln (2 - x)

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lo g_{10} (p^{20} \cdot q^{30} \cdot (1 - p - q)^{50})

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lo g_{10} (\frac{m}{n})

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lo g_{2} (x) + lo g_{2} (7)

Frequently Asked Questions (FAQ)

What is ln(x^8sqrt(2-x)) ?
The solution to ln(x^8sqrt(2-x)) is 8ln(x)+ln(sqrt(2-x))