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Popular >

simplify ln(e^{5x})

Solution

simplify

ln (e^{5 x})

Solution

5 x

Solution steps

ln (e^{5 x})

Apply log rule

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

assuming

x \geq 0

= 5 ln (e) x

Apply log rule:

lo g_{a} (a) = 1

= 5 x

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Frequently Asked Questions (FAQ)

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