selesaikan setiap persamaan eksponensial bntu donk
Matematika
putri17083
Pertanyaan
selesaikan setiap persamaan eksponensial
bntu donk
bntu donk
2 Jawaban
-
1. Jawaban Anisazhf
1. a. 3 log 81 = 4
b. 5 log 125 = 3
c. 32 log 8 = 3/5
d. 2 log 1/8 = -3 -
2. Jawaban Sutr1sn0
1a.
3^x = 81
3^x = 3^4
x = 4
b.
5^x = 125
5^x = 5^3
x = 3
c.
32^x = 8
(2^5)^x = 2^3
2^(5x) = 2^3
5x = 3
x = 3/5
d.
2^x = 1/8
2^x = 8^(-1)
2^x = (2^3)^(-1)
2^x = 2^(-3)
x = -3
2a.
2^(3x) = 512
2^(3x) = 2^9
3x = 9
x = 9/3
x = 3
b.
5^(x-1) = 5^(3x - 11)
x - 1 = 3x - 11
x - 3x = -11 + 1
-2x = -10
x = -10/-2
x = 5