23x2 2x 64 Please solve for x Please solve for x I used th

2^3x+2 * 2^x = 64

Please solve for x. Please solve for x. I used the quadratic formula but it was wrong.

Solution

2^3x+2 * 2^x = 64
since base is same so we can add their exponents
so,
2^3x+2+x= 64
2^3x+2+x= 2^6
so now bases are same so we can equate the exponents hence we get
3x+2+x=6
4x+2=6
4x=4
X=4/4
therefore, x=1 is our answer