Question

Find the value of the x, 3power4 ×3power5 = (3)powerx

Answer 1

It will be as follows :

3 raised to the power 4 x 3 raised to the power 5 = 3 raised to the power x

So according to the algebraic identities if the base is same and the roots are different then under the case of multiplication we add the roots so,

Now it will be 3 raised to the power 4+5 which is 3 raised to the power 7.

Now we have the value on the LHS

Substitute the variable x with the power in its position on the LHS (x lies on the RHS)

So , the value of x will be 7 because in the first step LHS = RHS.


Therefore , the final answer is

The value of x is 7.


Hope this helps you and if you have any question please ask.


Thank You.