Question

Qual o valor de "X"?

Answer 1

( 3 ) 2x • ( 3) 1 + ( 3 ) 2x • ( 3 ) - 1 - [ ( 3 ) x ] 2 = 63

[ ( 3 ) x ] 2 • 3 + [ ( 3 ) x ] 2 • 1 / 3 - [ ( 3 ) x ] 2 = 63

( 3 ) x = y

y2•3 + ( y ) 2• 1/ 3 - y2 = 63
3y2 + y2 / 3 - y2 = 63
2y2 + y2 / 3 = 63
6y2 + y2 = 189
7y2 = 189
y2 = 189 / 7
y2 = 27
y = √27
y = ( 3 ) 3/2

substituir na equação:
( 3 ) x = y
( 3 ) x = ( 3 ) 3/ 2 ( corta as bases)
x = 3 / 2