Question

What is the value of x if 5x+2=5^9

Answer 1

x=7
When solving for x as an exponent this is what you do. You have to get the bases (in this case 5) to be the same. In this case they already are. When they are the same you can then solve the exponents by themselves. this would x+2=9 you then solve like its a regular equation. x=7

Answer 2

Option C is correct

Value of x = 7

Explanation:

Using the exponent rule:

`x^a = x^b`

⇒a = b

Solve the equation:

`5^(x+2) = 5^9`

Apply the exponent rule we have;

`x+2 = 9`

Subtract 2 from both sides we have;

`x = 7`

Therefore, the value of x is, 7