 Click to Chat

1800-2000-838

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
`        	If	a^x=b	b^y=c	c^z=a	Prove xyz=1	Please give the solution`
5 years ago

## Answers : (6)

```							ax=b => x=logab

by=c=> y=logbc

cz=a=> z=logca

xyz=(logab.logbc).logca

=logac.logca

=logaa

=1Thanks & RegardsRinkoo GuptaAskIITians Faculty
```
5 years ago IIT Delhi
174 Points
```							a^xyz=(a^x)^yz=b^yz=(b^y)^z=c^z=aby comparision xyz=1 provedSher Mohammadfaculty askiitians
```
5 years ago
```							a^x=bb^y=c =>a^xy=cc^z=a =>a^xyz=a =>xyz=1
```
5 years ago
```							In equation:        a^x=b             (put value of a i.e. c^z)=>   c^z(x)=b Now, put value for c i.e. b^y =>   b^y(zx)=b=>   b^(xyz)=b^1Therefore,      xyz=1                     (Taking base as same)
```
4 years ago
```							c^z=aa^x=b,b^y=c(c^z)^x=b (b^y)^zx=bb^xyz=b^1 soxyz=1
```
4 years ago
```							If a = b = c = 1 then what will you tell??????? You must think about this....This was a CAT question....So it can not be so trivial..
```
2 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

## Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »  ### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions