Question

Find t if (2/5) ^3t+6 *(5/2)^-3 = (4/25)^t+2. pls its important

Answer 1

Answer:

The value of t is -5

Step-by-step explanation:

(2/5) ^3t+6 *(5/2)^-3 = (4/25)^t+2

=> (2/5)^(3t + 6) * (2/5)^3 = (4/25)^(t+2)

=> (2/5)^(3t + 6 + 3) = (2/5)^ 2(t + 2)    [Using the law a^m + a^n = a^(m + n) on L.H.S ]

=> 3t + 6 + 3 = 2(t + 2)  [Since a^m = b^n => m = n]

=> 3t + 9 = 2t + 4

=> 3t - 2t = 4-9

=> t = -5

HOPE IT HELPS!