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.