EXPONETIALS 1

If 5^2w (16^w) = 20^7w-5 ; Find w.

Solution

5^2w (16^w) = 20^7w-5

(5²)^w (16^w) = 20^7w-5

(25)^w (16^w) = 20^7w-5

(25 x 16)^w = 10^7w-5

(400)^w = 20^7w-5

(20²)^w = 20^7w-5

20^2w = 20^7w-5    (Bases are alike, so they cancel out)

2w = 7w-5

2w-7w = -5

-5w = -5

-5w = -5

-5       -5

w = 1

TRY THIS…………………………….

If 3^2t (4^t) = 6^t-12 ; Find t.