EXPONENTIALS 8

If 5^2w (40000^w) = 100 ; Find w.

Solution

5^2w (40000^w) = 100

(5²)^w (40000^w) = 100

(25)^w (40000^w) = 100

(25 x 40000)^w = 100

(1000000)^w = 100

(10⁶)^w = 10²

10^6w = 10²   (Bases are alike, so they cancel out)

6w = 2

6w = 2 ¹

6      6 ₃

w = ¹/3 answer

TRY THIS…………………………….

NECTA 2004 QN. 4b

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