Question

pelajaran kelas X
Tolong bantu please​

Answer 1

Jawab:

∛(8^(x+1)) = (8^(x+1))^(1/3)=8^((x+1)/3)=2^(3.(x+1)/3)=2^(x+1)

(1/4)^(x²-1)=(2^(-2))^(x²-1)=(2^(-2))^((x-1).(x+1))=2^(2.(x+1)(x-1))

∛(8^(x+1)) = (1/4)^(x²-1)

∛(8^(x+1))  :  (1/4)^(x²-1) = 1

2^(x+1) : 2^(-2.(x-1).(x+1))= 1

2^(x+1) . 2^(2.(x-1).(x+1)) = 1

2^(x+1) . 2^(2.(x²-1)) =1

2^(2x²-2+x-1) =1

2^(2x²+x-3)=1

2^(2x+3)(x-1)=1

maka supaya 2^(2x+3)(x-1)=1 atau 2^0=1

jadi (2x+3)(x-1)=0  

jadi x = -3/2 atau 1