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Popular >

simplify ln(4x^{-2})

Solution

simplify

ln (4 x^{- 2})

Solution

2 ln (2) - 2 ln (x)

Solution steps

ln (4 x^{- 2})

Apply log rule:

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

ln (4 x^{- 2}) = ln (4) + ln (x^{- 2})

= ln (4) + ln (x^{- 2})

Apply log rule:

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

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

= ln (4) - 2 ln (x)

ln (4) = 2 ln (2)

= 2 ln (2) - 2 ln (x)

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Frequently Asked Questions (FAQ)

What is ln(4x^{-2}) ?
The solution to ln(4x^{-2}) is 2ln(2)-2ln(x)