Question

Which statement is true for log3(x+1)=2

Answer 1

log₃ (x+1) = 3
It could be written:
(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26

Answer 2

x = 8 is the correct statement.

Explanation:

The given statement is
`log_(3)(x+1)=2`

Now from the rules of the logarithm

`log_(3)(x+1)=2`

`3^(2)=(x+1)` [Since
`log_(a)b=c\Rightarrow b=a^(c)`]

Therefore
`3^(2)=(x+1)`

x + 1 = 9

x = 9 - 1 = 8

Therefore answer will be x = 8.