If 3(x-y) = 27 and 3(x+y) = 243, then x is equal to = ?
A. 0
B. 2
C. 4
D. 6
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {{\text{3}}^{x - y}} = 27 = {3^3} \cr & \Leftrightarrow x - y = 3........(i) \cr & {3^{x + y}} = 243 = {3^5} \cr & \Leftrightarrow x + y = 5........(ii) \cr & {\text{On solving (i) and (ii) ,}} \cr & {\text{we get }}x = 4 \cr} $$Related Questions on Surds and Indices
A. $$\frac{1}{2}$$
B. 1
C. 2
D. $$\frac{7}{2}$$
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
A. 1.45
B. 1.88
C. 2.9
D. 3.7
Join The Discussion