Question

Find x such that 3 powerx+2 equal 3 powerx+216

Answer 1

Step-by-step explanation:

Given  

Find x such that 3 power x+2 equal 3 power x+216

Given 3^x+2 = 3^x + 216

We know that a^m x a^n = a^m + n

We can write this as  

3^x . 3^2 = 3^x + 216

So 3^x . 9 = 3^x + 216

So 3^x (9 – 1) = 216

3^x = 216 / 8

3^x = 27

3^x = 3^3

Since bases are same, exponents are equal.

Therefore x = 3

Reference link will be

https://brainly.in/question/13615833