Question

Chapter - indices, Class 9th

Find the value of X,

hoping for great answers :)

Answer 1

The statement seem wrong. The power of three must be 2x. But still there is an answer for the question.

^ is the exponential in the equations below.

3^(3x) + 9 = 10*3^(x)

Dividing both sides by 3^(x)
3^(3x)/3^(x) + 3^(2)/3^(x) = 10
3^(2x) + 3^(2-x) = 10

Now, if we use Hit and Trial method,
Let x be 0, then
3^(2*0) + 3^(2-0) = 10
3^0 + 3^2 = 10
1 + 9 = 10
10 = 10
LHS = RHS

Therefore, the value of x will be 0
Hence Proved

P.S. This method is not appropriate for examination. It is used here for understanding purposes.