Find the value of x if- (2/3)x(3/2)x=81/16

1.	Find the value of x if- (2/3)x(3/2)x=81/16
Answer» <html><body><a href="https://interviewquestions.tuteehub.com/tag/step-25533" style="font-weight:bold;" target="_blank" title="Click to know more about STEP">STEP</a> by step explanationWe are provided that (2/3)^x * (3/2)^2x = 81/16so at first let us write (2/3)^x as (3/2)^-x , to collaborate with 81/16 as 3^4/2^4so let's do the <a href="https://interviewquestions.tuteehub.com/tag/processor-1167672" style="font-weight:bold;" target="_blank" title="Click to know more about PROCESSOR">PROCESSOR</a>. (3/2)^-x * (3/2)^2x = 3^4/2^4or. (3/2)^-x + 2x = (3/2)^4so as on the both side of equal sign it have the same base. <a href="https://interviewquestions.tuteehub.com/tag/thus-2307358" style="font-weight:bold;" target="_blank" title="Click to know more about THUS">THUS</a> we can remove the base and equate only with their exponentso.or. -x+2x =<a href="https://interviewquestions.tuteehub.com/tag/4by-1881600" style="font-weight:bold;" target="_blank" title="Click to know more about 4BY">4BY</a> subtracting -x and 2x we get only xsoor. x = 4so the value of x is 4Hope this will help you. Thank you for <a href="https://interviewquestions.tuteehub.com/tag/reading-19542" style="font-weight:bold;" target="_blank" title="Click to know more about READING">READING</a> this</body></html>

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