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Q. Solve the equation :
log ( x²-3 ) - log x = log 2
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Answer:
log ( x²-3 ) - log x = log 2
using identity
log a-logb=loga/b
log(x²-3) /x=log2
x²-3/x=2
x²-3=2x
x²-2x-3=0
x²-3x+x-3=0
x(x-3) +1(x-3) =0
(x-3) (x+1) =0
x=3, -1
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