Algebra-1

To solve the equation 2^x = 4^x+1 using the same base method, we can rewrite the base 4 as a power of 2 since the base 2 is already present:

4 = 2²

Now we have:

2^x = (2²)^(x+1)

Using the exponent rule for raising a power to a power, we can simplify the right side:

2^x = 2^(2(x+1))

Now that the bases are the same, we c...