Question

if 5 raised to 2 x minus 1 minus 25 raise to x minus 1 equals to 2500 find x

Answer 1

HELLO DEAR,



${5}^{(2x - 1)} - {25}^{(x - 1)} = 2500 \\ = > {5}^{2x} \times \frac{1}{5} - {(5)}^{2(x - 1)} = 2500 \\ = > {5}^{2x } \times \frac{1}{5} - {5}^{2x} \times \frac{1}{ {5}^{2} } = 2500 \\ = > {5}^{2x} \times \frac{1}{5} (1 - \frac{1}{5} ) = 2500 \\ = > {5}^{2x} \times \frac{4}{5 \times 5} = 2500 \\ = > {5}^{2x} = \frac{2500 \times 25}{4 } \\ = > {5}^{2x} = \frac{25 \times 25 \times 100}{4} \\ = > {5}^{2x} = {5}^{2} \times {5}^{2} \times {5}^{2} \\ = > {5}^{2x} = {5}^{2 \times 3} \\ = > now \: compering \: we \: get \\ = > 2x = 2 \times 3 \\ = > x = 3$
I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Answer:

Step-by-step explanation: answer of above question is following