SOLUTION: 2^(x+4)-2^(x+1)=320

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Question 934706: 2^(x+4)-2^(x+1)=320
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2%5E%28x%2B4%29-2%5E%28x%2B1%29=320
2%5Ex%2A2%5E4-2%5Ex%2A2%5E1=5%2A2%5E6
2%5Ex%282%5E4-2%29=5%2A2%5E6
2%5Ex%2814%29=5%2A2%5E6
2%5Ex=5%2A2%5E6%2F14
2%5Ex=5%2A2%5E6%2F7%2A2
2%5Ex=160%2F7
log+%282%5Ex%29=log%28160%2F7%29
x%2Alog+%282%29=log%28160%2F7%29
x=log%28160%2F7%29%2Flog+%282%29
x+=4.514573172829758240428350112257559367223804767058439828377464- exact solution
x=4.514573 lowest number of decimal places that still gives us correct answer