nilai x yang memenuhi persamaan eksponensial berikut
Matematika
ThessaMaria
Pertanyaan
nilai x yang memenuhi persamaan eksponensial berikut
1 Jawaban
-
1. Jawaban SadonoSukirno
^ pangkat
1) 4^x = 64
4^x = 4⁴
x = 4
2) 3^(2x - 2) = 9
3^(2x - 2) = 3²
2x - 2 = 2
2x = 2 + 2
x = 4/2 = 2
3) 25^-2x = 3.125
5^2(-2x) = 5^5
2(-2x) = 5
-4x = 5
x = -5/4
4) 16^(x+3) = 64^(2x-1)
4^2(x+3) = 4^3(2x-1)
2(x+3) = 3(2x-1)
2x + 6 = 6x - 3
2x - 6x = -3 - 6
-4x = -9
x = -9/-4 = 9/4
5) 3^(2x-1) = 81^(2x-4)
3^(2x-1) = 3^4(2x-4)
2x - 1 = 4(2x - 4)
2x - 1 = 8x - 16
2x - 8x = -16 + 1
-6x = -15
x = -15/-6 = 15/6