Question

Find the value of x if 5^(x-3)(2x-3)=625 and answer is √11​

Answer 1

Answer:

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...

mark it brilliant ans. plz.  it took me 15 to 20 min to type...