SOLUTION: 2^(x-1)+2^(x+1)=2860 find the value of x ? (Surds and indices)

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Question 895163: 2^(x-1)+2^(x+1)=2860 find the value of x ? (Surds and indices)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%28x-1%29%2B2%5E%28x%2B1%29=2860+
Multiply both sides by 2.
2%5Ex%2B2%2A2%5E%28x%2B1%29=5720
2%5Ex%2B4%2A2%5Ex=5720
5%2A2%5Ex=5720
2%5Ex=1144
x=log%282%2C%281144%29%29
x=log%28%281144%29%29%2Flog%28%282%29%29