Question

$if ( {3}^{3} }^{2} ) = {9}^{x} then \: {5}^{x } = .$
​

Answer 1

Answer:

Given, 3

x

×27

x

=9

x+4

⇒3

x

×(3)

3x

=3

[2(x+4)]

⇒3

4x

=3

2(x+4)

.Using a

m

×a

n

=a

m+n

As the bases are equal i.e. 3, their powers must be equal.

Therefore, 4x=2x+8

⇒2x=8

⇒x=4