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Popular >

simplify log_{e}(5x^{-6})

Solution

simplify

lo g_{e} (5 x^{- 6})

Solution

ln (5) - 6 ln (x)

Solution steps

lo g_{e} (5 x^{- 6})

Apply log rule:

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

lo g_{e} (5 x^{- 6}) = lo g_{e} (5) + lo g_{e} (x^{- 6})

= lo g_{e} (5) + lo g_{e} (x^{- 6})

Apply log rule:

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

lo g_{e} (x^{- 6}) = - 6 lo g_{e} (x)

= lo g_{e} (5) - 6 lo g_{e} (x)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (5) - 6 lo g_{e} (x)

Simplify

lo g_{e} (x) : ln (x)

= ln (5) - 6 ln (x)

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Frequently Asked Questions (FAQ)

What is log_{e}(5x^{-6}) ?
The solution to log_{e}(5x^{-6}) is ln(5)-6ln(x)