ExamVeda
Login
Home

If ax = b by = c and cz = a...

This question belongs to Arithmetic Ability Surds And Indices
Surds and Indices
?

If ax = b, by = c and cz = a, then the value of xyz is = ?

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & {a^1} \cr & = {c^z} \cr & = {\left( {{b^y}} \right)^z} \cr & = {b^{yz}} \cr & = {\left( {{a^x}} \right)^{yz}} \cr & = {a^{xyz}} \cr & \Rightarrow xyz = 1 \cr} $$
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Surds and Indices

(17)3.5 × (17)? = 178
A. 2.29 B. 2.75 C. 4.25 D. 4.5
$${\text{If}}\,{\kern 1pt} {\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}},$$     then the value of x is
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
If 5a = 3125, then the value of 5(a - 3) is:
A. 25 B. 125 C. 625 D. 1625
More Related Questions on Surds and Indices