Question

If 3^2x+1=3^x+5 what is the value of x

Answer 1

here it is. hope it helps...

Answer 2

Answer: 4

Explanation:

Given equation:
`3^(2x+1)=3^(x+5)`

`\text{Here bases of the exponents are same therefore, the powers must be equal.}\\\Rightarrow2x+1=x+5\\\text{Subtract x from both the sides , we get}\\\Rightarrow2x+1-x=x+5-x\\\Rightarrow\ x+1=5\\\text{Subtract 1 from both sides, we get}\Rightarrow\ x+1-1=5-1\\\Rightarrow\ x=4`

Therefore, the value of x= 4.