Respuesta :

CHERLYNnotCHERRY

Answer:

The value of n is 1/2.

Step-by-step explanation:

[tex] {25}^{2n + 1} = 625[/tex]

[tex] log_{25}(625) = 2n + 1[/tex]

[tex]2 = 2n + 1[/tex]

[tex]2n = 1[/tex]

[tex]n = \frac{1}{2} [/tex]

Solution:-

[tex]\qquad\quad {:}\longmapsto\sf {25}^{2n+1}=625 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf {25}^{2n+1}=25^2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 2n+1=2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 2n=2-1 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 2n=1 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf n={\dfrac {1}{2}}[/tex]

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