fungsi logaritma f(x) = ²log(x+1) mempunyai invers (x) adalah...

Matematika X SMA
→→ Fungsi ←←

Rumus :
f(x) = ⁿlog x —» f¯¹(x) = n^x

Pembahasan :
f(x) = ²log (x + 1)
y = ²log(x + 1)
²log 2 . y = ²log(x + 1)
²log2^(y) = ²log(x + 1)
2^y = x + 1
x = 2^(y) - 1
f¯¹(x) = 2^(x) - 1

f(x) = ²log(x + 1)
²log(x + 1) = y
²log(x + 1) = ²log 2^y
(x + 1) = 2^y
x = (2^y) - 1
Jadi f^-1(x) = (2^x) - 1

^ = pangkat