Please answer this question.

Asked by Farheen1447 | 20th May, 2019, 04:38: PM

Expert Answer:

begin mathsize 16px style 4 to the power of straight x minus 1 end exponent space plus space 3 cross times 2 to the power of straight x plus 1 end exponent space minus space 64 space equals space 0
rightwards double arrow fraction numerator space 4 to the power of straight x space over denominator 4 end fraction space plus space 6 space cross times space 2 to the power of straight x space minus space 64 space equals space 0
rightwards double arrow space 4 to the power of straight x space plus space 24 cross times space 2 to the power of straight x space minus space 256 space equals space 0
rightwards double arrow space open parentheses 2 to the power of straight x close parentheses squared space plus space 24 cross times space 2 to the power of straight x space minus space 256 space equals space 0
rightwards double arrow space open parentheses 2 to the power of straight x close parentheses squared space space plus space 32 space 2 to the power of straight x space minus space 8 space 2 to the power of straight x space minus space 256 space equals space 0
rightwards double arrow 2 to the power of straight x open parentheses 2 to the power of straight x space plus space 32 close parentheses space minus space 8 open parentheses 2 to the power of straight x space plus space 32 close parentheses space equals space 0
rightwards double arrow space open parentheses 2 to the power of straight x space plus space 32 close parentheses space open parentheses 2 to the power of straight x space minus space 8 close parentheses space equals space 0
rightwards double arrow 2 to the power of straight x space equals space minus 32 space or space 2 to the power of straight x space equals space 8
2 to the power of straight x space equals space minus 32 space is space not space acceptable.
2 to the power of straight x space equals space 8
rightwards double arrow 2 to the power of straight x space equals space 2 cubed
rightwards double arrow space straight x space equals space 3 end style

Answered by Yasmeen Khan | 20th May, 2019, 05:37: PM

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