Question and Answers Forum

All Questions      Topic List

UNKNOWN Questions

Previous in All Question      Next in All Question      

Previous in UNKNOWN      Next in UNKNOWN      

Question Number 22745 by Sahib singh last updated on 22/Oct/17

$$\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{solutions}\mathrm{of}\mathrm{the}$$$$\mathrm{equation}{\log }_{101}{\log }_7(\sqrt{x+7}+\sqrt{x})=0\mathrm{is}$$

Answered by mrW1 last updated on 22/Oct/17

$${\log }_{101}{\log }_7(\sqrt{x+7}+\sqrt{x})=0$$$$\Rightarrow {\log }_7(\sqrt{x+7}+\sqrt{x})=1$$$$\Rightarrow \sqrt{x+7}+\sqrt{x}=7$$$$\Rightarrow \sqrt{x+7}=7-\sqrt{x}$$$$\Rightarrow \mathrm{x}+7=49+\mathrm{x}-14\sqrt{\mathrm{x}}$$$$\Rightarrow \sqrt{\mathrm{x}}=3$$$$\Rightarrow \mathrm{x}=9$$$$\Rightarrow \mathrm{only}\mathrm{one}\mathrm{solution}$$

Commented by Sahib singh last updated on 22/Oct/17

$$\mathrm{thanks}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com