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Simplify e to the In3 power?

Updated: 4/28/2022
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7y ago

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e^(ln 3) = 3

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9y ago
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7y ago

e^(ln3) = 3

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Q: Simplify e to the In3 power?
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e2xlnx = x2x since ln x is the opposite to e so you just leave the x from the log and the rest of the exponent stays the same.


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It depends. If you mean (ln e)7, then the answer is 1, since (ln e) = 1. If you mean ln(e7), then the answer is 7, since ln(e7) = 7 (ln e) and (ln e) = 1.


How would i simplify e cubed over cube root of e squared multiplied by e to the power of thirteen?

Cube root is the same as to the power of a third; when multiplying/dividing powers of a number add/subtract the powers; when a power is to another power, multiply the powers; as it is all e to some power: e³/(e²)^(1/3) × e^13 = e³/e^(2/3) × e^13 = e^(3 - 2/3 + 13) = e^(15 1/3) = e^(46/3) Which can also be expressed as "the cube root of (e to the power 46)" or "(the cube root of e) to the power 46".


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How do you Simplify e to the 3lnx power?

"e^3lnx = (e^3) * (e^lnx) = (e^3) * x = xe^3" If you actually plugged in a constant for your variable you will see why this is wrong. Your thinking of e ^ (3 + ln(x)) ... The correct answer is e^(3ln(x)) = e^(ln(x^3)) = x^3