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Category: Logarithms

Se-f-3-x-1-3-3-x-1-3-x-1-3-calcule-f-2-f-1-

Question Number 91681 by hmamarques1994@gmail.com last updated on 02/May/20 $$\: \\ $$$$\:\boldsymbol{\mathrm{Se}}\:\:\boldsymbol{\mathrm{f}}\left(\sqrt{\mathrm{3}^{\sqrt[{\mathrm{3}}]{\boldsymbol{\mathrm{x}}}} }\:+\:\mathrm{3}^{\sqrt[{\mathrm{3}}]{\boldsymbol{\mathrm{x}}}} \right)\:=\:\sqrt[{\mathrm{3}}]{\boldsymbol{\mathrm{x}}},\:\:\boldsymbol{\mathrm{calcule}}\:\:\frac{\boldsymbol{\mathrm{f}}\left(\mathrm{2}\right)}{\boldsymbol{\mathrm{f}}\left(\mathrm{1}\right)}\centerdot \\ $$$$\: \\ $$ Commented by john santu last updated on…

Question-91608

Question Number 91608 by mhmd last updated on 01/May/20 Commented by Tony Lin last updated on 01/May/20 $${let}\:{log}_{\mathrm{2}} {x}={t} \\ $$$$\frac{\mathrm{1}}{\mathrm{4}}{t}^{\mathrm{2}} −{t}+\mathrm{4}=\mathrm{0} \\ $$$${t}^{\mathrm{2}} −\mathrm{4}{t}+\mathrm{16}=\mathrm{0}…

if-log-6-45-x-log-18-24-y-then-log-12-25-in-terms-of-x-y-

Question Number 25593 by behi.8.3.4.17@gmail.com last updated on 11/Dec/17 $$\boldsymbol{{if}}\:\::\:\:\:\boldsymbol{{log}}_{\mathrm{6}} ^{\mathrm{45}} =\boldsymbol{{x}}\:\:,\:\:\:\boldsymbol{{log}}_{\mathrm{18}} ^{\mathrm{24}} =\boldsymbol{{y}} \\ $$$$\boldsymbol{{then}}\::\:\:\:\boldsymbol{{log}}\:_{\mathrm{12}} ^{\mathrm{25}} \:=?\left(\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{x},\mathrm{y}\right) \\ $$ Answered by Rasheed.Sindhi last updated…

log-x-4-x-2-8x-12-lt-1-2-log-x-2-2-x-2-

Question Number 90806 by john santu last updated on 26/Apr/20 $$\mathrm{log}_{\left({x}+\mathrm{4}\right)} \left({x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{12}\right)\:<\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{log}_{\mid{x}−\mathrm{2}\mid} \left(\mathrm{2}−{x}\right)^{\mathrm{2}} \\ $$ Commented by john santu last updated on 26/Apr/20 $$\Rightarrow\left(\mathrm{2}−{x}\right)^{\mathrm{2}}…