If 8 × 3^4x+3 + 3^11 = 3^13 , find x
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Question: Evaluate 81/3 and 8-1/3
Answer: 2, 1/2
Question: Evaluate 82/3 and 8-2/3
Answer: 4, 1/4
Question: Evaluate 45/2, 274/3 and 16-3/2
Answer: 32, 81, 1/64
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Question: In the table below you can see the values of three different functions. Two are power functions: one has the form f(t) = at2, while the other has the form f(t) = bt3. The third is an exponential function of the form f(t) = kbt. Which is which and how can you tell?
t F1(t) t F2(t) t F3(t)
1.0 2.5 0 2.2 2.0 4.8
1.2 4.32 1.0 2.64 2.2 5.81
1.4 6.86 2.0 3.17 2.4 6.91
1.6 10.24 3.0 3.80 2.6 8.11
1.8 14.58 4.0 4.56 2.8 9.41
2.0 20.0 5.0 5.47 3.0 10.8
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