Question

Tolong dibantu kak buat hari ini soalnya

Answer 1

Nomor 6.
½^(2+x) = 16^(1-x)
2^(-1(2+x)) = 2⁴^(1-x)
2^(-2-x) = 2^(4-4x)
-2-x = 4-4x
-x+4x = 4+2
3x = 6
x = 6/3 = 2

Nomor 7.
(3√27^(x-3)) = (4√(3^x))
(3√3³^(x-3)) = 3^x^¼
3^(3/3)^(x-3) = 3^(x/4)
x-3 = x/4
4(x-3) = x
4x - 12 = x
4x - x = 12
3x = 12
x = 12/3 = 4

Nomor 8.
2^(3x-1) = 32
2^(3x-1) = 2^5
3x-1 = 5
3x = 5+1
3x = 6
x = 6/3 = 2


Nomor 9.
4 ^ (x² - 3x - 4) = 2 ^ (x² - 2x - 4)
2 ^ 2(x² - 3x - 4) = 2 ^ (x² - 2x - 4)
2x² - 6x - 8 = x² - 2x - 4
2x² - x² - 6x + 2x - 8 + 4 = x² - 4x - 4
x² - 4x - 4 = 0
( x - 2 ) ( x - 2 )
Salah soal !!

Nomor 10.
7 ^ ( 2x - 6 ) = 3 ^ ( 2x - 6 )
7 ^ 0 = 3 ^ 0
2x - 6 = 0
2x = 6
x = 6/2 = 3

Nomor 11.
2 ^ ( 2x - 1 ) = 7 ^ ( x + 2 )

2 ^ ( 2x - 1 ) = y
² log y = 2x - 1
(2x-1) ylog2 = 1

7 ^ ( x + 2 ) = y
7logy = x + 2
(x+2) ylog7 = 1