Question

Solve the equation: 25^2n+1=625

Answer 1

Answer:

The value of n is 1/2.

Step-by-step explanation:

${25}^{2n + 1} = 625$

$log_{25}(625) = 2n + 1$

$2 = 2n + 1$

$2n = 1$

$n = \frac{1}{2}$

Answer 2

Solution:-

$\qquad\quad {:}\longmapsto\sf {25}^{2n+1}=625$

$\qquad\quad {:}\longmapsto\sf {25}^{2n+1}=25^2$

$\qquad\quad {:}\longmapsto\sf 2n+1=2$

$\qquad\quad {:}\longmapsto\sf 2n=2-1$

$\qquad\quad {:}\longmapsto\sf 2n=1$

$\qquad\quad {:}\longmapsto\sf n={\dfrac {1}{2}}$