SOLUTION: 9/4 log2(x)=3

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Question 411335: 9/4 log2(x)=3
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%289%2F4%29log%282%2C+%28x%29%29=3
First, let's isolate the logarithm. Multiplying both sides by 4/9 we get:
%284%2F9%29%289%2F4%29log%282%2C+%28x%29%29=%284%2F9%293
which simplifies to:
log%282%2C+%28x%29%29=4%2F3
With the log isloated we next rewrite the equation in exponential form. In general log%28a%2C+%28p%29%29+=+q is equivalent to p+=+a%5Eq. Using this pattern on your equation we get:
x+=+2%5E%284%2F3%29
This may be an acceptable answer. However, a preferred form might be to rewrite this in radical form:
x+=+root%283%2C+2%5E4%29
which can be simplified:
x+=+root%283%2C+2%5E3%2A2%29
x+=+root%283%2C+2%5E3%29%2Aroot%283%2C+2%29
x+=+2%2Aroot%283%2C+2%29