Eksponen
•
2^x + 2^(x + 3) = 72
(2^x)(1 + 2^3) = 72
2^x . 9 = 72
2^x = 8
x = 3 ✔
••
3^x + 3^(x + 2) = 90
(3^x)(1 + 3²) = 90
3^x . 10 = 90
3^x = 9
x = 2 ✔
•••
4^(x + 1) + 2^(2x) = 20
4^(x + 1) + 4^x = 20
(4^x)(4¹ + 1) = 20
(4^x)(5) = 20
4^x = 4
x = 1 ✔
Jawaban:
a. x=3
2^x + 2^x+3=72
2^3 + 2^3+3=72
8 + 2^6=72
8 + 64=72
72=72
b. x=2
3^x + 3^x+2=90
3^2 + 3^2+2=90
9 + 3^4=90
9 + 81=90
90=90
c. x=1
4^x+1 + 2^2x=20
4^1+1 + 2^2(1)=20
4^2 + 2^2 =20
16 + 4 =20
20 = 20
Keterangan:
→"^" artinya pangkat
#Backtoschool2019
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Eksponen
•
2^x + 2^(x + 3) = 72
(2^x)(1 + 2^3) = 72
2^x . 9 = 72
2^x = 8
x = 3 ✔
••
3^x + 3^(x + 2) = 90
(3^x)(1 + 3²) = 90
3^x . 10 = 90
3^x = 9
x = 2 ✔
•••
4^(x + 1) + 2^(2x) = 20
4^(x + 1) + 4^x = 20
(4^x)(4¹ + 1) = 20
(4^x)(5) = 20
4^x = 4
x = 1 ✔
Jawaban:
a. x=3
2^x + 2^x+3=72
2^3 + 2^3+3=72
8 + 2^6=72
8 + 64=72
72=72
b. x=2
3^x + 3^x+2=90
3^2 + 3^2+2=90
9 + 3^4=90
9 + 81=90
90=90
c. x=1
4^x+1 + 2^2x=20
4^1+1 + 2^2(1)=20
4^2 + 2^2 =20
16 + 4 =20
20 = 20
Keterangan:
→"^" artinya pangkat
#Backtoschool2019