Question

If 6^(2n+1) - 36 = 6^3, then value of n is

Answer 1

Hi.

Here is your answer----------

Given------------

                                  6^(2n+1) - 36 = 6^3

We know, 6 ^2 = 36, therefore,
                                  6^(2n+1) - 6^2 = 6^3

Since, bases of all the three terms are same(,i.e.,6), thus, power should be equated.

                                (2n+1) - 2 = 3
                                2n + 1 = 3 + 2
                                2n = 5 -1
                                2n = 4
                                 n = 2

Thus, value of n is 2

Hope it will help u.

Have a nice day.

Answer 2

Hey!!!

We have 6^(2n + 1) - 36 = 6³

=> 6^(2n + 1) - 6² = 6³

Since both LHS and RHS side is in form of 6

=> 2n + 1 - 2 = 3

=> 2n = 4

=> n = 2

My answer may not be correct I'm solving such questions after a long gap