Answer to Question #92330 in Algebra for joy

Question

• 3∧2x - 4(3∧x+1) + 27 = 0

Answer 1

$3^{2x}-4*3^{x+1}+27=0$.

$3^{2x}-12*3^x+27=0.$

$3^x=\frac{12-\sqrt{144-108}}{2}\;\;or\;\;3^x=\frac{12+\sqrt{144-108}}{2}$

$3^x=3\;\;or\;\;3^x=9.$

$x=1\;\;or\;\;x=2.$