x+1 ²log ²log(2 +3)=1+²logx

^ tanda pangkat
²log ²log (2^(x+1) + 3) = ²log 2 + ²log x
²log ²log (2^(x+1) + 3) = ²log 2x
²log (2^(x+1) + 3) = 2x
2^2x = 2^(x+1) + 3
(2^x)^2 = 2^x.2^1 + 3
(2^x)^2 = 2^x.2 + 3
misal 2^x = p
p^2 = p.2 + 3
p^2 = 2p + 3
p² - 2p - 3 = 0
(p + 1)(p - 3) = 0
p + 1 = 0
p = -1
kembalikan p = 2^x
2^x = -1 (tidak memenuhi pangkat tidak ada negatif hasilnya )
p - 3 = 0
p = 3
2^x = 3
x = ²log 3

Bab Logaritma
Matematika SMA Kelas X

²log ²log (2^(x + 1) + 3) = 1 + ²log x
²log ²log (2^x . 2+ 3) = ²log 2 + ²log x
²log (2 . 2^x + 3) = 2x
2 . 2^x + 3 = 2^2x
2^2x - 2 . 2^x - 3 = 0
(2^x - 3) (2^x + 1) = 0
2^x = 3
²log 3 = x
x = log 3 / log 2
x = 1,58


atau

2^x + 1 = 0
2^x = -1 (tidak memenuhi)

jadi, x = 1,58

x + 1 = 1,58 + 1 = 2,58