[tex]4^{m-1}+4^m=15/4[/tex] Maka [tex]8^m=?[/tex] tolong dijawab dengan rinci :)

4^{m - 1} + 4^m = 15/4
¼.4^m + 4^m = 15/4
4^m(¼ + 1) = 15/4
4^m(5/4) = 15/4
4^m = 3
2^{2m} = 3
2^m = √3

Maka :

8^m
= 2^{3m}
= (√3)³
= 3√3

4^(m - 1) + 4^m = 15/4
(4^m)/(4^1) + 4^m = 15/4
Misal 4^m = a
a/4 + a = 15/4
1/4 a + 1 a = 15/4
5/4 a = 15/4
a = 15/4 . 4/5
a = 15/5
4^m = 3
2^2m = 3
(2^m)^2 = 3
2^m = √3

8^m = 2^3m = (2^m)^3 = (√3)^3 = √3 . √3 . √3 = 3√3