# solve:

2^7-x = 1/2

*show all steps please !

## do you mean

2^(7-x) = 1/2 ????????

2^(7-x) = 2^-1

7 - x = -1

x = 8

OR

(7-x) log 2 = log .5

(7-x) = -1 again :)

## yeahh sorry

& thank you :)

## To solve the equation 2^7 - x = 1/2, follow these steps:

Step 1: Simplify 2^7 to find the value on the left side of the equation.

2^7 = 128

So the equation becomes:

128 - x = 1/2

Step 2: Isolate the term with x on one side of the equation by subtracting 128 from both sides.

128 - 128 - x = 1/2 - 128

-x = 1/2 - 128

Step 3: Find a common denominator to subtract the fractions.

-x = 1/2 - (128/1)

-x = 1/2 - 128/1

The common denominator for 1/2 and 128/1 is 2.

So, adjust the fractions:

-x = 1/2 - (128/1)(2/2)

-x = 1/2 - 256/2

Step 4: Subtract the fractions:

-x = (1 - 256)/2

-x = -255/2

Step 5: Solve for x by multiplying both sides of the equation by -1 to get a positive x.

-1(-x) = (-255/2)(-1)

x = 255/2

Therefore, the solution to the equation 2^7 - x = 1/2 is x = 255/2.