Solve the following equations for x: (i) 72x+3=1 (ii) 2x+1=4x−3 (ii

1.	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
Answer» Solve the following equations for x: (i) $7^{2 x + 3} = 1$ (ii) $2^{x + 1} = 4^{x - 3}$ (iii) $2^{5 x + 3} = 8^{x + 3}$ (iv) $4^{2 x} = \frac{1}{32}$ (v) $4^{x - 1} \times (0.5)^{3 - 2 x} = {(\frac{1}{8})}^{x}$ (vi) $2^{3 x - 7} = 256$

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

Answer»

Solve the following equations for x:

(i) $7^{2 x + 3} = 1$

(ii) $2^{x + 1} = 4^{x - 3}$

(iii) $2^{5 x + 3} = 8^{x + 3}$

(iv) $4^{2 x} = \frac{1}{32}$

(v) $4^{x - 1} \times (0.5)^{3 - 2 x} = {(\frac{1}{8})}^{x}$

(vi) $2^{3 x - 7} = 256$