2^x+1=1/16 find x
To solve the equation 2^(x+1) = 1/16, we can follow these steps:
Step 1: Rewrite 1/16 as a power of 2.
1/16 can be written as 2^(-4).
Step 2: Substitute the expression obtained in step 1 into the equation.
Now our equation becomes: 2^(x+1) = 2^(-4).
Step 3: Equate the exponents.
For the bases to be equal, the exponents must be equal.
(x+1) = -4.
Step 4: Solve for x.
To solve for x, we need to isolate it on one side of the equation.
x = -4 - 1.
Simplifying further, we have:
x = -5.
So, the value of x in the given equation is -5.