Solve for x:- 25x−1 = 4 × 23x+1
Given : 25x−1 = 4 × 23x+1
⇒ 25x−1 = 22 × 23x+1 ⇒ 25x−1 = 23x+3 [∵am×an= a(m+n)]
Equating the exponents,
5x−1=3x+3
⇒ x=2
Solve the following equations for x:
(i) 72x+3=1
(ii) 2x+1=4x−3
(iii)25x+3=8x+3
(iv) 42x=132
(v)4x−1×(0.5)3−2x=(18)x
(vi)23x−7=256