SOLUTION: Log2^x log4^x log8^x=21/4

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Question 945671: Log2^x log4^x log8^x=21/4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%5Ex%29log%284%5Ex%29log%288%5Ex%29=21%2F4
x%2Alog%282%29%2Ax%2Alog%284%29%2Ax%2Alog%288%29=21%2F4
x%5E3%2Alog%282%29%2Alog%282%5E2%29%2Alog%282%5E3%29=21%2F4
x%5E3%2Alog%282%29%2A2log%282%29%2A3log%282%29=21%2F4
x%5E3%2A6%28log%282%29%29%5E3=21%2F4
x%5E3=%2821%2F4%29%2F6%28log%282%29%29%5E3
x%5E3=21%2F%2824%28log%282%29%29%5E3%29
x%5E3=cross%2821%297%2F%28cross%2824%298%28log%282%29%29%5E3%29
x%5E3=7%2F%288%28log%282%29%29%5E3%29
x%5E3=7%2F%282%5E3%28log%282%29%29%5E3%29

x=root%283%2C%287%2F%282%5E3%28log%282%29%29%5E3%29%29%29

x=root%283%2C7%29%2F%28root%283%2C2%5E3%29root%283%2C%28log%282%29%29%5E3%29%29

x=root%283%2C7%29%2F%282log%282%29%29-> exact solution

x=1.91293%2F1.38629436
x=1.379887-> approximate solution