Question

Solve for X
5^2x+3=625
​

Answer 1

Step-by-step explanation:

=>  5^(x-3)(2x-3) = 625

=>  5^[2x²-9x+9] = 625

=>  5^[2x²-9x+9] = 5⁴

by equalizing powers as their base is same...

=>  2x²-9x+9=4

=>   2x²-9x+5=0                      

=>   D  =b²-4ac  =41

=>    x=     (-b±√D)/2a

=>    x=   {  -(-9)  ± √41  }   /4    

=>    x=   {  9  ± √41  }   /4      

=>    x=   {  9  ± 6.4...  }   /4  

=>    x=   {  9  ± 6.4...  }   /4        

=>   x=    15.4.../4  or -3.4.../4

=>   x=     3.84...   or  -0.85...    and √11 = 3.6...

Hope it helps :)-

Answer 2

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

5^2*x+3-(625)=0

Step by step solution :

STEP

1

:

Equation at the end of step

1

:

((52 • x) + 3) - 625 = 0

STEP

2

:

Equation at the end of step 2

25x - 622 = 0

STEP

3

:

Solving a Single Variable Equation

3.1 Solve : 25x-622 = 0

Add 622 to both sides of the equation :

25x = 622

Divide both sides of the equation by 25:

x = 622/25 = 24.880