Question

If 3^3 x 3^10 =3^x ,then find the value of x 


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Answer 1

Step-by-step explanation:

1,−1

31+x+31−x=10

3(3x)+3x3=10

3(32x)+3=10.3x

Let

3x=t.

Then the above equation changes to

3(t2)+3=10t

3t2−10t+3=0

3t2−9t−t+3=0

3t(t−3)−1(t−3)=0

(3t−1)(t−3)=0

t=31,3

Or

3x=31 and 3x=3

Or

x=−1,1.