SOLUTION: Solve, {{{ log( a, x ) }}}^2 - {{{ log( a, x ) }}}=a, a>0 and does not = -1

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Question 61306: Solve, +log%28+a%2C+x+%29+^2 - +log%28+a%2C+x+%29+=a, a>0 and does not = -1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+a%2C+x%5E2+%29+-+log%28+a%2C+x+%29+=a
note that, in general, log%28a%29+-+log%28b%29+=+log%28a%2Fb%29
log%28a%2C+x%5E2%2Fx%29+=+a
log%28a%2C+x%29+=+a
x+=+a%5Ea a>0