Solution - Linear equations with one unknown
x=1/256=0.004
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8^4*x-(16)=0
Step by step solution :
Step 1 :
1.1 8 = 23
(8)4 = (23)4 = 212
Equation at the end of step 1 :
(212 • x) - 16 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4096x - 16 = 16 • (256x - 1)
Equation at the end of step 3 :
16 • (256x - 1) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 16 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : 256x-1 = 0
Add 1 to both sides of the equation :
256x = 1
Divide both sides of the equation by 256:
x = 1/256 = 0.004
One solution was found :
x = 1/256 = 0.004How did we do?
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