If `5^(x + 3) = (25)^(3x - 4)`, then the value of `x` is : Options: A . &nbsp`5/11` B . &nbsp`11/5` C . &nbsp`11/3` D . &nbsp`13/5`

If `5^(x + 3) = (25)^(

Question

If `5^(x + 3) = (25)^(3x - 4)`, then the value of `x` is :

Options:

A . `5/11`

B . `11/5`

C . `11/3`

D . `13/5`

Answer: Option B

`5^(x + 3) = (25)^(3x - 4)` `hArr 5^(x + 3) = (5^2)^(3x - 4) hArr 5^(x + 3) = 5^(2(3x-4))`

`hArr 5^(x + 3) = 5^(6x - 8) hArr x + 3 = 6x - 8 hArr 5x = 11 hArr = 11/5`

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