Question

If 3^(2x+1) = 3^(x+5), what is the value of x?o 2O 3o 4O 6

Answer 1

x = 4

Step-by-step explanation

If two powers that have the same base are equal, it means that their exponents are equal as well. In this case, the base is 3, so,

`2x+1=x+5`

To solve for x, subtract x from both sides,

`\begin{gathered} 2x-x+1=x-x+5 \\ x+1=5 \end{gathered}`

And then, subtract 1 from both sides of the equation,

`\begin{gathered} x+1-1=5-1 \\ x=4 \end{gathered}`

Hence, the value of x is 4.