Question

Answer of Question 1 .If you don't know don't answer. pls help fast. ​

Answer 1

Answer:

$= > {25}^{x - 1} + 100 = \frac{ {5}^{2x} }{5} \\ \\ = > {5}^{2x - 2} + 100 = {5}^{2x - 1} \\ \\ = > {5}^{2x - 2} - {5}^{2x - 1} = - 100 \\ \\ = > {5}^{2x - 1} ( {5}^{ - 1} - 1) = - 100 \\ \\ = > {5}^{2x - 1} \times( \frac{1}{5} - 1) = - 100\\ \\ = > {5}^{2x - 1} \times - \frac{4}{5} = - 100 \\ \\ = > - {5}^{2x - 1} = - 125 \\ \\ = > {5}^{2x - 1} = {5}^{3} \\ \\ = > 2x - 1 = 3 \\ \\ = > 2x = 4 \\ \\ = > x = 2$

Answer 2

Answer:

3/2

Step-by-step explanation:

25^( x - 1 ) + 100 = 5^ ( 2x ) /5

[ 25^( x) / 25 ] + 100 = 5^(2)(x) /5

[ 25^(x) / 25 ] + 100 = 25^(x) /5

[ 25^(x) /5 ] - [ 25^(x) / 25 ] = 100

[ 25^(x) ] [ 1/5 - 1/25 ] = 100

[ 25^(x) ] [ 20/25 ] = 100

[ 25^(x) ] = 125

5^(2x) = 5^3

2x = 3

x = 3/2