Okay that it 5^4x-13=125

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (1/5)^4*x-13-(125)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           5

Equation at the end of step

1

:

    1                    

 (((—)4) • x) -  13) -  125  = 0

    5                    

STEP

2

:

Equation at the end of step

2

:

    1                

 ((—— • x) -  13) -  125  = 0

   54                

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

         13     13 • 625

   13 =  ——  =  ————————

         1        625  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       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:

x - (13 • 625)     x - 8125

——————————————  =  ————————

     625             625  

Equation at the end of step

3

:

 (x - 8125)    

 —————————— -  125  = 0

    625        

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

          125     125 • 625

   125 =  ———  =  —————————

           1         625  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

(x-8125) - (125 • 625)     x - 86250

——————————————————————  =  —————————

         625                  625  

Equation at the end of step

4

:

 x - 86250

 —————————  = 0

    625  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-86250

 ——————— • 625 = 0 • 625

   625  

Now, on the left hand side, the  625  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-86250  = 0

Solving a Single Variable Equation:

5.2      Solve  :    x-86250 = 0

Add  86250  to both sides of the equation :

                     x = 86250

One solution was found :

x = 86250

so, converting firstly the mixed fractions to improper fractions and then "adding".