Question

Jika 4^(m+1) + 4^m = 15 , maka 8^m?
a. 3 AKAR3
b. 2 AKAR3
c. AKAR3
d. 3
e. 6

Ket: ^ adalah PANGKAT.

Answer 1

Verified answer

Eksponen

4^(m + 1) + 4^m = 15
(4^m) . 4 + 4^m = 15
5(4^m) = 15
4^m = 3

Tarik kedua ruas log
log 4^m = log 3
m . log 4 = log 3
m = log 3/log 4
m = ⁴log 3

8^m
= (2^3)^( ^(4) log 3))
= 2^(^(2²)log 3³)
= 2^( 3/2 . ²log 3)
= 2^(²log (3^(3/2)))
= 3^(3/2)
= 3√3

Option A