Question

If 3^x+3^(x+3)=756 find the value of x​

Answer 1

Let x=n(just because i can raise n to power)

3ⁿ+3ⁿ×3³=3³×2²×7{756 in factorial form)

Let 3ⁿ=y

y+3³y=3³2²7¹

Dividing equation by 3³

y/3³ + y =28

y+27y = 28×27

28y=28×27

y=27

y=3ⁿ

3ⁿ=3³

Hence x=3

Hope you find my solution helpful; please mark as brainliest