If x=y^z , y=z^x , z=x^y …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Gagan Singh 6 years, 10 months ago
- 3 answers
Test
Related Questions
Posted by Sahil Sahil 1 year, 5 months ago
- 2 answers
Posted by Vanshika Bhatnagar 1 year, 5 months ago
- 2 answers
Posted by Parinith Gowda Ms 3 months, 4 weeks ago
- 1 answers
Posted by Hari Anand 6 months, 3 weeks ago
- 0 answers
Posted by Lakshay Kumar 1 year, 1 month ago
- 0 answers
Posted by Parinith Gowda Ms 3 months, 4 weeks ago
- 0 answers
Posted by Kanika . 1 month, 2 weeks ago
- 1 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Ram Kushwah 6 years, 10 months ago
{tex}\begin{array}{l}\mathrm x=\mathrm y^{\mathrm z},\mathrm y=\mathrm z^{\mathrm x},\mathrm z=\mathrm x^{\mathrm y}\\\mathrm{xyz}=\mathrm x^{\mathrm y}\mathrm y^{\mathrm z}\mathrm z^{\mathrm x}\\\mathrm{xyz}=\mathrm{xyz}(\mathrm x^{\mathrm y-1}\mathrm y^{\mathrm z-1}\mathrm z^{\mathrm x-1})\\\mathrm{or}\;\mathrm x^{\mathrm y-1}\mathrm y^{\mathrm z-1}\mathrm z^{\mathrm x-1}=1\\\frac{\mathrm x^{\mathrm y}\mathrm y^{\mathrm z}\mathrm z^{\mathrm x}}{\mathrm{xyz}}=1\\\mathrm{So}\;\;\mathrm{xyz}=\mathrm x^{\mathrm y}\mathrm y^{\mathrm z}\mathrm z^{\mathrm x}\end{array}{/tex}
1Thank You