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Popular >

simplify ln((e^x)^2)

Solution

simplify

ln ((e^{x})^{2})

Solution

2 x

Solution steps

ln ((e^{x})^{2})

(e^{x})^{2} = e^{2 x}

= ln (e^{x \cdot 2})

Apply log rule

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

assuming

x \geq 0

= 2 ln (e) x

Apply log rule:

lo g_{a} (a) = 1

= 2 x

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Frequently Asked Questions (FAQ)

What is ln((e^x)^2) ?
The solution to ln((e^x)^2) is 2x