(17)3.5 x (17)? = 178
Answer: Option D
Explanation:
Let (17)3.5 x (17)x = 178.
Then, (17)3.5 + x = 178.
3.5 + x = 8
x = (8 - 3.5)
x = 4.5
If 5a = 3125, then the value of 5(a - 3) is:
Answer: Option A
5a = 3125 5a = 55
a = 5.
5(a - 3) = 5(5 - 3) = 52 = 25.
Answer: Option C
x - 1 = 3 - x
2x = 4
x = 2.
If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
3x - y = 27 = 33 x - y = 3 ....(i)
3x + y = 243 = 35 x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
xz = y2 10(0.48z) = 10(2 x 0.70) = 101.40
0.48z = 1.40