Question

Tentukan nilai y yg memenuhi persamaan di bawah ini!
A. 25y = 5^10
B. 3y-^2 = 243
C. 9^3y-^1 = 27y + ^2

Answer 1

A. 25y = 5^10
25y = 25.5^8
y = 5^8

B. 3y^(-2) = 3^5
3/y^2 = 3^5
y^2 = 3/3^5
y^2 = 3^-4
y = 3^-2 = 1/9

Answer 2

A. 25^y=5^10
5^2y=5^10
2y=10
y=5

b.3^(Y-2)=243
3^Y-2=3^5
y-2=5
y=7

c. 9^(3y-1)=27^(y+2)
3^6y-2=3^3y+6
6y-2=3y+6
3y=8
y=8/3