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Solve for Real Roots:

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Asked by Anish 26th September 2018, 2:02 AM
Answered by Expert
Answer:
2log3 x + log3 (x2 - 3) = log3 0.5 + begin mathsize 16px style 5 to the power of log subscript 5 end exponent to the power of left parenthesis log subscript 3 space 8 right parenthesis end exponent space end style
log3 x2 + log3 (x2 - 3) = log3 0.5 + log3 8                      aloga x = x
log3 x2(x2 - 3) = log3 4
x2(x2 - 3) = 4
Solving it further we get 
x = √3 or 1
As x ≠ 1 hence x = √3
Answered by Expert 26th September 2018, 10:10 AM
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