Question

Find the value of X...​

Answer 1

Answer:

The value of X is 5.

(By using the law of indices)

Answer 2

★GIVEN★

$\large{\sf{{5}^{x}\times{5}^{4}={5}^{9}}}$

★To Find★

The value of x.

★SOLUTION★

$\large\implies{\sf{{5}^{x}\times{5}^{4}={5}^{9}}}$

As the bases are same,

Comparing the bases,

$\large\implies{\sf{x+4=9}}$

$\large\implies{\sf{x=9-4}}$

$\large\therefore\boxed{\bf{x=5}}$

Value of x is 5.