Solve for x : 3^(x)-3^(x-1)=486...

Solve for x :
`3^(x)-3^(x-1)=486`

A

6

B

7

C

9

D

5

Verified by Experts

The correct Answer is:

A

`3^(x) -(3^(x))/(3)=486`
`rArr 3.3^(x)-3^(x) =1458`
`rArr 2.3^(x) =1458`
`rArr 3^(x)=729`
`rArr 3^(x) =3^(6)`
`rArr x=6`

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