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Asked by Shahidshamsh620 12th February 2020, 12:25 AM
Answered by Expert
Answer:
Given:
4x - 3x-1/2 = 3x+1/2 - 22x-1
2 to the power of 2 x end exponent minus 3 to the power of x minus 1 half end exponent equals space 3 to the power of x plus 1 half end exponent minus 2 to the power of 2 x minus 1 end exponent
rightwards double arrow 2 to the power of 2 x end exponent plus 2 to the power of 2 x minus 1 end exponent equals space 3 to the power of x plus 1 half end exponent plus 3 to the power of x minus 1 half end exponent
rightwards double arrow 2 to the power of 2 x end exponent open parentheses 1 plus 1 half close parentheses equals 3 to the power of x open parentheses 3 to the power of 1 half end exponent plus 1 over 3 to the power of begin display style 1 half end style end exponent close parentheses
rightwards double arrow 2 to the power of 2 x end exponent open parentheses 3 over 2 close parentheses equals 3 to the power of x open parentheses 4 over 3 to the power of begin display style 1 half end style end exponent close parentheses
rightwards double arrow 2 to the power of 2 x end exponent 3 to the power of 3 over 2 end exponent equals 3 to the power of x 2 cubed
C o m p a r i n g space c o e f f i c i e n t s space o f space 2 space a n d space 3 space w e space h a v e
2 x equals 3 space a n d space 3 over 2 equals x
H e n c e comma space x equals 3 over 2.
Answered by Expert 12th February 2020, 11:02 AM
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Tags: exponent
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