Question Number 115246 by bemath last updated on 24/Sep/20 $$\:\:\:\:\mathrm{5}^{\left({x}+\mathrm{1}\right)^{\mathrm{2}} } \:+\:\mathrm{625}\:\leqslant\:\mathrm{5}^{{x}^{\mathrm{2}} +\mathrm{2}} \:+\:\mathrm{5}^{\mathrm{2}{x}+\mathrm{3}} \\ $$ Commented by bobhans last updated on 24/Sep/20 $${let}\:\mathrm{5}^{{x}^{\mathrm{2}} }…
Question Number 115238 by bemath last updated on 24/Sep/20 $$\:\:\:\mathrm{64}^{{x}^{\mathrm{2}} −\frac{\mathrm{3}}{\mathrm{4}}{x}} \:\leqslant\:\left(\sqrt{\mathrm{8}}\right)^{{x}^{\mathrm{3}} } \: \\ $$ Answered by Rasheed.Sindhi last updated on 24/Sep/20 $$\mathrm{64}^{{x}^{\mathrm{2}} −\frac{\mathrm{3}}{\mathrm{4}}{x}}…
Question Number 49691 by Rio Michael last updated on 09/Dec/18 $${simplify}\:\frac{{log}_{\mathrm{3}} \mathrm{64}\:×\:{log}_{\mathrm{4}} \mathrm{243}}{{log}_{\mathrm{2}} \mathrm{16}} \\ $$ Answered by math1967 last updated on 09/Dec/18 $$\frac{{log}_{\mathrm{3}} \mathrm{4}^{\mathrm{3}}…
Question Number 180014 by cortano1 last updated on 06/Nov/22 $$\:\:\mathrm{Given}\:\mathrm{80}^{{a}} \:=\:\mathrm{5}\:\mathrm{and}\:\mathrm{80}^{{b}} \:=\:\mathrm{2} \\ $$$$\:\mathrm{then}\:\mathrm{25}^{\frac{\mathrm{1}−{a}−\mathrm{2}{b}}{\mathrm{1}+{a}−\mathrm{4}{b}}} \:=?\: \\ $$ Answered by srikanth2684 last updated on 06/Nov/22 $$\mathrm{25}^{\frac{\mathrm{ln}_{\mathrm{80}}…
Question Number 179722 by Acem last updated on 01/Nov/22 $$\mathrm{1000}^{\mathrm{500}\:{x}} \:=\:\sqrt{\mathrm{200}} \\ $$ Commented by CElcedricjunior last updated on 02/Nov/22 $$\mathrm{1000}^{\mathrm{500}\boldsymbol{\mathrm{x}}} =\sqrt{\mathrm{200}} \\ $$$$\mathrm{500}\boldsymbol{\mathrm{xln}}\mathrm{10}^{\mathrm{3}} =\frac{\mathrm{1}}{\mathrm{2}}\left(\boldsymbol{\mathrm{ln}}\mathrm{2}+\boldsymbol{\mathrm{ln}}\mathrm{100}\right)…
Question Number 179679 by ROOSEVELT last updated on 01/Nov/22 $$\int_{\mathrm{2}} ^{\mathrm{4}} \mathrm{tan}\:\left({x}\right) \\ $$ Answered by Acem last updated on 01/Nov/22 $${a}=\:−\mathrm{ln}\:\mid\mathrm{cos}\:{x}\mid\:\mid_{\mathrm{2}} ^{\mathrm{4}} \:=\:−\mathrm{ln}\:\mid\mathrm{cos}\:\mathrm{4}\mid+\:\mathrm{ln}\:\mid\mathrm{cos}\:\mathrm{2}\mid \\…
Question Number 113872 by Aina Samuel Temidayo last updated on 15/Sep/20 $$\mathrm{log}_{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}} \mathrm{sinx}\:>\mathrm{0},\:\mathrm{x}\in\left[\mathrm{0},\mathrm{4}\pi\right],\:\mathrm{then}\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x}\:\mathrm{which}\:\mathrm{are} \\ $$$$\mathrm{integral}\:\mathrm{multiples}\:\mathrm{of}\:\frac{\pi}{\mathrm{4}},\:\mathrm{is}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 113862 by Aina Samuel Temidayo last updated on 15/Sep/20 Answered by 1549442205PVT last updated on 16/Sep/20 $$\mathrm{From}\:\mathrm{the}\:\mathrm{hypotesis}\:\mathrm{we}\:\mathrm{have} \\ $$$$\frac{\mathrm{logx}}{\mathrm{b}−\mathrm{c}}=\frac{\mathrm{logy}}{\mathrm{c}−\mathrm{a}}=\frac{\mathrm{logz}}{\mathrm{a}−\mathrm{b}}=\mathrm{k}.\mathrm{Hence},\mathrm{we}\:\mathrm{get} \\ $$$$\begin{cases}{\mathrm{logx}=\mathrm{k}\left(\mathrm{b}−\mathrm{c}\right)}\\{\mathrm{logy}=\mathrm{k}\left(\mathrm{c}−\mathrm{a}\right)}\\{\mathrm{logz}=\mathrm{k}\left(\mathrm{a}−\mathrm{b}\right)}\end{cases} \\ $$$$\mathrm{Adding}\:\mathrm{up}\:\mathrm{three}\:\mathrm{equalities}\:\mathrm{we}\:\mathrm{obtain}…
Question Number 113811 by Aina Samuel Temidayo last updated on 15/Sep/20 $$\mathrm{If}\:\mathrm{log}_{\mathrm{12}} \mathrm{27}=\mathrm{a},\:\mathrm{express}\:\mathrm{log}_{\mathrm{6}} \mathrm{16}\:\mathrm{in}\:\mathrm{terms} \\ $$$$\mathrm{of}\:\mathrm{a}. \\ $$ Answered by bemath last updated on 15/Sep/20…
Question Number 113800 by Aina Samuel Temidayo last updated on 15/Sep/20 $$\mathrm{log}\:\left(\mathrm{ab}\right)−\mathrm{log}\mid\mathrm{b}\mid\:= \\ $$$$ \\ $$$$\mathrm{A}.\:\mathrm{log}\left(\mathrm{a}\right)\:\mathrm{B}.\:\mathrm{log}\:\mid\mathrm{a}\mid\:\mathrm{C}.\:−\mathrm{log}\left(\mathrm{a}\right)\:\mathrm{D}. \\ $$$$\mathrm{None}\:\mathrm{of}\:\mathrm{these}. \\ $$ Answered by MJS_new last updated…