x = 136/2187 = 0.062
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3^4*x-5-(1/27)=0
<span>Step by step solution :
</span><span>Step 1 :</span> 1
Simplify ——
27
<span>Equation at the end of step 1 :</span><span> 1
(((34) • x) - 5) - —— = 0
27
</span><span>Step 2 :</span>
<span>Equation at the end of step 2 :</span><span> 1
((34 • x) - 5) - —— = 0
27
</span><span>Step 3 :</span>Rewriting the whole as an Equivalent Fraction :
<span> 3.1 </span> Subtracting a fraction from a whole
Rewrite the whole as a fraction using <span> 27 </span> as the denominator :
81x - 5 (81x - 5) • 27
81x - 5 = ——————— = ——————————————
1 27
<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole
<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
<span> 3.2 </span> Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(81x-5) • 27 - (1) 2187x - 136
—————————————————— = ———————————
27 27
<span>Equation at the end of step 3 :</span> 2187x - 136
——————————— = 0
27
<span>Step 4 :</span>When a fraction equals zero :<span><span> 4.1 </span> When a fraction equals zero ...</span>
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.
Here's how:
2187x-136
————————— • 27 = 0 • 27
27
Now, on the left hand side, the <span> 27 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2187x-136 = 0
Solving a Single Variable Equation :
<span> 4.2 </span> Solve : 2187x-136 = 0<span>
</span>Add 136 to both sides of the equation :<span>
</span> 2187x = 136
Divide both sides of the equation by 2187:
x = 136/2187 = 0.062
One solution was found :
<span>
x = 136/2187 = 0.062</span>
