Penjelasan dengan langkah-langkah:

²log (×+ 1) > ²log 8

²log (×+ 1) - ²log 8 > 0

Next, we can use the property of logarithms that says log(a) - log(b) = log(a/b) to simplify the left side of the inequality:

²log (×+ 1) - ²log 8 > 0

²log ((×+ 1)/8) > 0

Next, we can use the property of logarithms that says log(a) - log(b) = log(a/b) to simplify the left side of the inequality:

²log (×+ 1) - ²log 8 > 0

²log ((×+ 1)/8) > 0

Now we can take the square root of both sides of the inequality:

log ((×+ 1)/8) > 0

(×+ 1)/8 > 1

Finally, we can solve for x by dividing both sides of the inequality by 1/8 and subtracting 1 from both sides:

(×+ 1)/8 > 1

× + 1 > 8

× > 7

Therefore, the value of x that satisfies the given inequality is x > 7.