Question

1. nilai x yang memenuhi persamaan
√3^2x+1 = 9^x-2 adalah

2. nilai x dari 5^2x-3 = 1 per 5 √5

Answer 1

1) (3^1/2)^2x+1 = (3²)^x-2
(3)^x+1/2 = (3)^2x-4
x+1/2 = 2x-4
x-2x = -4-1/2
-x = -8/2-1/2
-x = -9/2
x = 9/2
x = 4 1/2




2) (5)^2x-3 = (5√5)^-1
(5)^2x-3 = (5^3/2)^-1
(5)^2x-3 = (5)^-3/2
2x-3 = -3/2
2x = -3/2 + 3
2x = -3/2 + 6/2
2x = 3/2
x = 3/2 : 2
x = 3/2 . 1/2
x = 3/4