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Popular >

simplify log_{e}(e^x)

Solution

simplify

lo g_{e} (e^{x})

Solution

x

Solution steps

lo g_{e} (e^{x})

Apply log rule:

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

= ln (e^{x})

Apply log rule

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

assuming

x \geq 0

= ln (e) x

Apply log rule:

lo g_{a} (a) = 1

= x

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Frequently Asked Questions (FAQ)

What is log_{e}(e^x) ?
The solution to log_{e}(e^x) is x