Question

(2)^x+2=256 in whole proess pls tell me​

Answer 1

When you are solving an equation (or system of equations) for some particular variable, generally you do it by isolating that variable: get it alone on one side of the equation.

To isolate it, for bijective operations (basically, ones that have an inverse with exactly one result) we apply the inverse operation to operations on the side with our variable. If you had "x + 2 = 5", you'd apply a subtraction of two as the inverse of an addition of two, and get x = 5 - 2 = 3. For some operations we technically don't have bijective operations but we can fudge it well enough if there's few answers, like the zeroes of a quadratic equation or the positive and negative solutions of a square root.

The inverse operation for using something as an exponent is the logarithm with the same base. So for 2n , our inverse operation is log2n .

So we get from 2x=256 to log22x=x=log2256=8 .