Question and Answers Forum

All Questions      Topic List

Logarithms Questions

Previous in All Question      Next in All Question      

Previous in Logarithms      Next in Logarithms      

Question Number 70008 by Shamim last updated on 30/Sep/19

$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{x}.$$$${\log }_8\mathrm{x}+{\log }_4\mathrm{x}+{\log }_2\mathrm{x}=11.$$

Answered by Maclaurin Stickker last updated on 30/Sep/19

$${log}_{2^3}x+{log}_{2^2}x+{log}_{2}x=11$$$$\frac{1}{3}{log}_{2}x+\frac{1}{2}{log}_{2}x+{log}_{2}x=11$$$$(\frac{1}{3}+\frac{1}{2}+1){log}_{2}x=11$$$$\frac{11}{6}{log}_{2}x=11$$$${log}_{2}x=6$$$$2^6=x$$$$x=64$$

Commented by Shamim last updated on 30/Sep/19

$$\mathrm{tnks}\mathrm{a}\mathrm{lot}.$$

Commented by Shamim last updated on 30/Sep/19

$$\mathrm{plz}\mathrm{explain}\mathrm{with}\mathrm{details}-$$$${\log }_{2^3}\mathrm{x}=\frac{1}{3}{\log }_2\mathrm{x}$$$$\mathrm{which}\mathrm{law}\mathrm{use}\mathrm{for}\mathrm{this}??$$

Commented by Tony Lin last updated on 30/Sep/19

$${log}_{2^3}x=y$$$$2^{3y}=x$$$${log}_{2}x=3y$$$$\frac{1}{3}{log}_{2}x=y={log}_{2^3}x$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com