201k views
1 vote
Please help me with this

Please help me with this-example-1
User Bharathi D
by
3.9k points

1 Answer

1 vote

Given:

The equation is:


3^x* 9=3^(2n-1)

To find:

The value of n in terms of x.

Solution:

We have,


3^x* 9=3^(2n-1)

It can be written as


3^x* 3^2=3^(2n-1)


3^(x+2)=3^(2n-1)
[\because a^ma^n=a^(m+n)]

On comparing the exponents, we get


x+2=2n-1

Add 1 on both sides.


x+2+1=2n-1+1


x+3=2n

Divide both sides by 2.


(x+3)/(2)=n

Therefore, the value of n is terms of x is
n=(x+3)/(2).

User SMAG
by
4.1k points