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Popular >

simplify ln(x500^{-x})

Solution

simplify

ln (x 50 0^{- x})

Solution

ln (x) - x ln (500)

Solution steps

ln (x \cdot 50 0^{- x})

Apply log rule:

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

ln (x \cdot 50 0^{- x}) = ln (x) + ln (50 0^{- x})

= ln (x) + ln (50 0^{- x})

Apply log rule:

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

ln (50 0^{- x}) = - x ln (500)

= ln (x) - x ln (500)

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Frequently Asked Questions (FAQ)

What is ln(x500^{-x}) ?
The solution to ln(x500^{-x}) is ln(x)-xln(500)