Help me in finding solution for 5 to the power of 2x-1-[25]to the power of x-1 =2500 find x 

 

Asked by Namita.kmr | 20th Apr, 2020, 05:31: PM

Expert Answer:

To find x when 52x-1 - 25x-1 = 2500
5 to the power of 2 x minus 1 end exponent minus 25 to the power of x minus 1 end exponent equals 2500
5 to the power of 2 x minus 1 end exponent minus open parentheses 5 squared close parentheses to the power of x minus 1 end exponent equals 2500
5 to the power of 2 x minus 1 end exponent minus 5 to the power of 2 x minus 2 end exponent equals 2500
5 to the power of 2 x minus 1 end exponent open parentheses 1 minus 5 to the power of negative 1 end exponent close parentheses equals 25 cross times 100
5 to the power of 2 x minus 1 end exponent open parentheses 1 minus 1 fifth close parentheses equals 25 cross times 25 cross times 4
5 to the power of 2 x minus 1 end exponent cross times 4 over 5 equals 5 to the power of 4 cross times 4
5 to the power of 2 x minus 2 end exponent equals 5 to the power of 4
2 x minus 2 equals 4
2 x equals 6
x equals 3

Answered by Renu Varma | 20th Apr, 2020, 11:28: PM