Question

(2/3)^(3x-2)=81/16

Answer 1

\(\bf \left(\cfrac{2}{3}\right)^{3x-2}=\cfrac{81}{16}
?\)

Answer 2

x=1/3 :)

Answer 3

81/16 is equivalent to (9/4)^2. (2/3)^-2= 9/4 so multiply the exponents by -2. -6x + 4 = 2. X= 1/3.

Answer 4

Thank you and thank you for actually explaingin it, it took me a minute to understand, but that was great.

Answer 5

No problem! Do you understand fully? These types of problems are usually solved simply by getting the same base somehow, then setting the exponents equal to eachother

Answer 6

right, i couldn't figure out how to get the same base, but Multiplying both sides by^-2 is how right?

Answer 7

kinda

Answer 8

Yes put (2/3)^-2 resulting with (9/4)

Answer 9

jessicacollin still confused?

Answer 10

no but i did get the correct answer which is -2/3