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Popular >

simplify ln((500)/(x^6))

Solution

simplify

ln (\frac{500}{x ^{6}})

Solution

ln (500) - 6 ln (x)

Solution steps

ln (\frac{500}{x ^{6}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{500}{x ^{6}}) = ln (500) - ln (x^{6})

= ln (500) - ln (x^{6})

Apply log rule:

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

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

= ln (500) - 6 ln (x)

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Frequently Asked Questions (FAQ)

What is ln((500)/(x^6)) ?
The solution to ln((500)/(x^6)) is ln(500)-6ln(x)