Question

x = -3. The solution is x = -3. In Exercises 1-12, solve the equation 3^(4x) = 3^(12). 

          x = -3. The solution is x = -3. In Exercises 1-12, solve the equation 3^(4x) = 3^(12).

Added by Milagros B.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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x = -3. The solution is x = -3. In Exercises 1-12, solve the equation 3^(4x) = 3^(12).
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Transcript

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00:01 We need to solve the following.
00:02 So we're going to have u squared equals x to the two -third power, and u is equal to the x to the one -third power.
00:09 So we have u squared plus four u.
00:12 We're going to bring the 12 over, so that's minus 12.
00:15 We're going to look at the factors of negative 12.
00:18 So we have 2 and negative 6, negative 2 and 6.
00:21 So we want this combination because we want positive 4.
00:24 So this is u squared minus 2 u plus 6 u minus 12 equals 2.
00:30 Zero.
00:31 The first two we're going to pull out a u in comments...
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