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Popular >

simplify ln(e^{3x-2})

Solution

simplify

ln (e^{3 x - 2})

Solution

3 x - 2

Solution steps

ln (e^{3 x - 2})

Apply log rule

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

assuming

x \geq 0

= ln (e) (3 x - 2)

Apply log rule:

lo g_{a} (a) = 1

= (3 x - 2)

Remove parentheses:

(a) = a

= 3 x - 2

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Frequently Asked Questions (FAQ)

What is ln(e^{3x-2}) ?
The solution to ln(e^{3x-2}) is 3x-2