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Question

If open parentheses a to the power of log subscript b end subscript invisible function application x end exponent close parentheses to the power of 2 end exponent–5x to the power of log subscript b end subscript invisible function application a end exponent + 6 = 0 where a > 0, b > 0 & ab not equal to 1. Then the value of x is equal to

  1. 2 to the power of log subscript b end subscript invisible function application a end exponent    
  2. 3 to the power of log subscript a end subscript invisible function application b end exponent    
  3. 2 to the power of log subscript a end subscript invisible function application 2 end exponent    
  4. a to the power of log subscript b end subscript invisible function application 3 end exponent    

The correct answer is: 3 to the power of log subscript a end subscript invisible function application b end exponent

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