Explanation:
b. 25 × 5^x-1 =5^3x-5
5² × 5^x-1 =5^3x-5
2+x-1=3x-5
1+5=2x
6=2x
x=3
e. t = (⅔)^-3 × (27/4)^-2
t= - (3×3×3/2×2×2) × (4×4/27×27)
t= -(27/4×2) ×(4×4/27×27)
t= -2/27
f. [(3/10)^-5 ÷ (3/10)^-3]^-1 × (10/3)^-2× 3⁰ = (3/10)^4x-20
(3/10)⁵ ÷ (3/10)³ × (3/10)²×1 = (3/10)^4x-20
(3/10)⁴=(3/10)^4x-20
4=4x-20
4x=24
x=6