SOLUTION: log base 16 of x + log base 4 of x + log base 2 of x = 7 solve for x

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Question 827122: log base 16 of x + log base 4 of x + log base 2 of x = 7
solve for x

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log base 16 of x + log base 4 of x + log base 2 of x = 7
solve for x
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log%282%2C%28x%29%29%2F3%2Blog%282%2C%28x%29%29%2F2%2Blog%282%28x%29%29=7
LCD:6
2log%282%2C%28x%29%29%2B3log%282%2C%28x%29%29%2B6log%282%28x%29%29=42
log%282%2C%28x%5E11%29%29=42
2^42=x^11
raise both sides to 1/11 power
x=2^(42/11)
x≈14.10546..