If (125)x = 3125, then the value of x is?
A. $$\frac{1}{5}$$
B. $$\frac{3}{5}$$
C. $$\frac{5}{3}$$
D. $$\frac{5}{7}$$
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & {\left( {125} \right)^x} = 3125 \cr & \Rightarrow {\left( {{5^3}} \right)^x} = {\left( 5 \right)^5} \cr & \Rightarrow {\left( 5 \right)^{3x}} = {\left( 5 \right)^5} \cr & \Rightarrow 3x = 5 \cr & \Rightarrow x = \frac{5}{3} \cr} $$This Question Belongs to Arithmetic Ability >> Algebra
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