Q. 23

Asked by Rayeesa | 10th Apr, 2018, 07:27: AM

Expert Answer:

 exponebegin mathsize 14px style 2 to the power of 2 straight x plus 8 end exponent plus 1 equals 32.2 to the power of straight x
rightwards double arrow 2 to the power of 2 straight x end exponent 2 to the power of 8 plus 1 equals 32.2 to the power of straight x
Let space 2 to the power of straight x equals straight y
rightwards double arrow 256 straight y squared plus 1 equals 32 straight y
rightwards double arrow 256 straight y squared minus 32 straight y plus 1 equals 0
rightwards double arrow 256 straight y squared minus 16 straight y minus 16 straight y plus 1 equals 0
rightwards double arrow 16 straight y left parenthesis 16 straight y minus 1 right parenthesis minus 1 left parenthesis 16 straight y minus 1 right parenthesis equals 0
rightwards double arrow left parenthesis 16 straight y minus 1 right parenthesis left parenthesis 16 straight y minus 1 right parenthesis equals 0
rightwards double arrow left parenthesis 16 straight y minus 1 right parenthesis squared equals 0
rightwards double arrow 16 straight y minus 1 equals 0
rightwards double arrow straight y equals 1 over 16
rightwards double arrow 2 to the power of straight x equals 1 over 16 equals 1 over 2 to the power of 4 equals 2 to the power of negative 4 end exponent
rightwards double arrow straight x equals negative 4 end style

Answered by Rashmi Khot | 10th Apr, 2018, 09:13: AM

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