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| 1. |
Find the value of x if- (2/3)x(3/2)x=81/16 |
| Answer» STEP 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 PROCESSOR. (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. THUS we can remove the base and equate only with their exponentso.or. -x+2x =4BY subtracting -x and 2x we get only xsoor. x = 4so the value of x is 4Hope this will help you. Thank you for READING this | |