Question

$(25\sqrt{5})^{x}=(^3\sqrt5)^{x+1}$, x തുല്യമായത് ഏതാണ്?

• A. 1/5
• B. 2/13
• C. 2/15
• D. 5/3

Answer 1

Answer:

B. 2/13

$(25\sqrt{5})^{x}=(^3\sqrt5)^{x+1}$

$(5^2\times5^{1/2})^x=(5^{1/3})^{x+1}$

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

$5x/2=(x+1)/3$

$15x=2x+2$

$13x=2$

$x=2/13$