bantu dong all.mohon ya

Materi : Eksponen dan Logaritma
Bahasan : Persamaan Eksponen
Jawaban : a. x = 15, b. x = - 47/13, c. x = 24/55, d. x = 1

Langkah - langkah :
(terlampir)

^ tanda pangkat
a) 3^½(x+3) = 3^-1(6-x)
½(x + 3) = -1(6 - x)
-------------------------- × 2
(x + 3) = -2(6 - x)
x + 3 = -12 + 2x
x - 2x = -12 -3
-x = -15
x = 15

b) 2^¾(x-5) = 2^2(4+2x)
¾(x - 5) = 2(4 + 2x)
--------------------------- × 4
3(x - 5) = 8(4 + 2x)
3x - 15 = 32 + 16x
-15 - 32 = 16x - 3x
-47 = 13x
x = -47/13

c) 2^7(8x - 2) = 2^(10+x)
7(8x - 2) = 10 + x
56x - 14 = 10 + x
56x - x = 10 + 14
55x = 24
x = 24/55

d) 2^6(5x - 1) = 2^4(3x + 3)
6(5x - 1) = 4(3x + 3)
30x - 6 = 12x + 12
30x - 12x = 12 + 6
18x = 18
x = 1