Question and Answers Forum

All Questions      Topic List

Logic Questions

Previous in All Question      Next in All Question      

Previous in Logic      Next in Logic      

Question Number 36450 by Raj Singh last updated on 02/Jun/18

Commented by tanmay.chaudhury50@gmail.com last updated on 02/Jun/18

Commented by ajfour last updated on 03/Jun/18

$$right!$$

Answered by ajfour last updated on 02/Jun/18

$$3^x=5^y=3^z{\left(5^2\right)}^z$$$$\Rightarrow x\ln 3=y\ln 5=z\ln 3+2z\ln 5$$$$\Rightarrow y=\frac{x\ln 3}{\ln 5}....\left(i\right)$$$$z=\frac{x\ln 3}{\ln 3+2\ln 5}=\frac{x\left(\frac{\ln 3}{\ln 5}\right)}{\left(\frac{\ln 3}{\ln 5}\right)+2}$$$$using\left(i\right)$$$$z=\frac{y}{\frac{y}{x}+2}=\frac{xy}{2x+y}.$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com