Find the values of x in each of the following: (i)25x÷2x=5√220 (ii)

1.	Find the values of x in each of the following: (i)25x÷2x=5√220 (ii)(23)4=(22)x (iii)(35)x(53)2x=12527 (iv)5x−2×32x−3=135 (v)2x−7×5x−4=1250 (vi)(3√4)2x+12=132 (vii)52x+3=1 (viii) (13)√x=44−34−6 (ix)(√35)x+1=12527
Answer» Find the values of x in each of the following: $(i) 2^{5 x} \div 2^{x} = \sqrt[5]{2^{20}}$ $(i i) (2^{3})^{4} = (2^{2})^{x}$ $(i i i) {(\frac{3}{5})}^{x} {(\frac{5}{3})}^{2 x} = \frac{125}{27}$ $(i v) 5^{x - 2} \times 3^{2 x - 3} = 135$ $(v) 2^{x - 7} \times 5^{x - 4} = 1250$ $(v i) (\sqrt[3]{4})^{2 x + \frac{1}{2}} = \frac{1}{32}$ $(v i i) 5^{2 x + 3} = 1$ $(v i i i) (13)^{\sqrt{x}} = 4^{4} - 3^{4} - 6$ $(i x) {(\sqrt{\frac{3}{5}})}^{x + 1} = \frac{125}{27}$

Find the values of x in each of the following: (i)25x÷2x=5√220 (ii)(23)4=(22)x (iii)(35)x(53)2x=12527 (iv)5x−2×32x−3=135 (v)2x−7×5x−4=1250 (vi)(3√4)2x+12=132 (vii)52x+3=1 (viii) (13)√x=44−34−6 (ix)(√35)x+1=12527

Answer»

Find the values of x in each of the following:

$(i) 2^{5 x} \div 2^{x} = \sqrt[5]{2^{20}}$

$(i i) (2^{3})^{4} = (2^{2})^{x}$

$(i i i) {(\frac{3}{5})}^{x} {(\frac{5}{3})}^{2 x} = \frac{125}{27}$

$(i v) 5^{x - 2} \times 3^{2 x - 3} = 135$

$(v) 2^{x - 7} \times 5^{x - 4} = 1250$

$(v i) (\sqrt[3]{4})^{2 x + \frac{1}{2}} = \frac{1}{32}$

$(v i i) 5^{2 x + 3} = 1$

$(v i i i) (13)^{\sqrt{x}} = 4^{4} - 3^{4} - 6$

$(i x) {(\sqrt{\frac{3}{5}})}^{x + 1} = \frac{125}{27}$