Tolong dibantu kak buat hari ini soalnya
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