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Question Number 198288 Answers: 1 Comments: 0

Question Number 197255 Answers: 0 Comments: 0

log 2=a log 3=b log 72=?

$$\mathrm{log}\:\mathrm{2}={a} \\ $$$$\mathrm{log}\:\mathrm{3}={b} \\ $$$$\mathrm{log}\:\mathrm{72}=? \\ $$

Question Number 197254 Answers: 0 Comments: 0

(((log_2 20)^2 −(log_2 5)^2 )/(log_2 10 ))=?

$$\frac{\left(\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}20}\right)^{\mathrm{2}} \:−\left(\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}5}\right)^{\mathrm{2}} \:}{\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}10}\:}=? \\ $$

Question Number 197253 Answers: 0 Comments: 0

log_3 12=a log _3 18=?

$$\mathrm{lo}\underset{\mathrm{3}} {\mathrm{g}12}={a} \\ $$$$\mathrm{log}\underset{\mathrm{3}} {\:}\mathrm{18}=?\: \\ $$

Question Number 197252 Answers: 0 Comments: 0

log_a x=30 log_b x=70 log_(ab) x=?

$$\mathrm{lo}\underset{{a}} {\mathrm{g}}{x}=\mathrm{30} \\ $$$$\mathrm{lo}\underset{{b}} {\mathrm{g}}{x}=\mathrm{70} \\ $$$$\mathrm{lo}\underset{{ab}} {\mathrm{g}}{x}=?\:\:\: \\ $$

Question Number 197251 Answers: 1 Comments: 0

log 2=0.30103 log 125=?

$$\mathrm{log}\:\mathrm{2}=\mathrm{0}.\mathrm{30103} \\ $$$$\mathrm{log}\:\mathrm{125}=? \\ $$

Question Number 197250 Answers: 0 Comments: 0

log 3=a log 4=b log_5 36=?

$$\mathrm{log}\:\mathrm{3}={a} \\ $$$$\mathrm{log}\:\mathrm{4}={b} \\ $$$$\mathrm{lo}\underset{\mathrm{5}} {\mathrm{g}36}=?\: \\ $$

Question Number 197249 Answers: 3 Comments: 0

log_6 2=a log_6 9=?

$$\mathrm{lo}\underset{\mathrm{6}} {\mathrm{g}2}={a} \\ $$$$\mathrm{lo}\underset{\mathrm{6}} {\mathrm{g}9}=?\:\: \\ $$

Question Number 197248 Answers: 0 Comments: 3

a,b,c∈R ((a + 2b − 3ac)/(3ac)) = ((a + 4b − bc)/b) Find: ((2b)/a) − ((3a)/b)

$$\mathrm{a},\mathrm{b},\mathrm{c}\in\mathbb{R} \\ $$$$\frac{\mathrm{a}\:+\:\mathrm{2b}\:−\:\mathrm{3ac}}{\mathrm{3ac}}\:\:=\:\:\frac{\mathrm{a}\:+\:\mathrm{4b}\:−\:\mathrm{bc}}{\mathrm{b}} \\ $$$$\mathrm{Find}:\:\:\:\frac{\mathrm{2b}}{\mathrm{a}}\:−\:\frac{\mathrm{3a}}{\mathrm{b}} \\ $$

Question Number 197247 Answers: 1 Comments: 0

calcul ∫^( +∞) _( 0) ((ln(cht))/(sh(t)))dt

$$\mathrm{calcul}\:\underset{\:\mathrm{0}} {\int}^{\:+\infty} \frac{{ln}\left({cht}\right)}{{sh}\left({t}\right)}{dt} \\ $$

Question Number 197245 Answers: 0 Comments: 1

Question Number 197242 Answers: 0 Comments: 0

Question Number 197241 Answers: 0 Comments: 0

Question Number 197239 Answers: 1 Comments: 0

Question Number 197238 Answers: 0 Comments: 1

Question Number 197234 Answers: 1 Comments: 0

Question Number 197229 Answers: 2 Comments: 1

Question Number 197228 Answers: 1 Comments: 0

Question Number 197227 Answers: 0 Comments: 0

Question Number 197226 Answers: 1 Comments: 0

Question Number 197225 Answers: 1 Comments: 0

Question Number 197212 Answers: 0 Comments: 1

Is ∫f(x)dx=∫_0 ^x lim_(x→t) f(x)dt?

$$\mathrm{Is}\:\int{f}\left({x}\right){dx}=\int_{\mathrm{0}} ^{{x}} \underset{{x}\rightarrow{t}} {\mathrm{lim}}{f}\left({x}\right){dt}? \\ $$

Question Number 197196 Answers: 1 Comments: 0

Question Number 197194 Answers: 1 Comments: 0

Question Number 197191 Answers: 1 Comments: 0

∫(1/(x^3 −3x+7))dx

$$\int\frac{\mathrm{1}}{{x}^{\mathrm{3}} −\mathrm{3}{x}+\mathrm{7}}{dx} \\ $$

Question Number 197190 Answers: 1 Comments: 2

∫_0 ^1 ^3 (√(1−x^7 )) dx − ∫^1 _0 ^7 (√(1−x^3 )) dx = ?

$$\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:^{\mathrm{3}} \sqrt{\mathrm{1}−{x}^{\mathrm{7}} }\:{dx}\:−\:\underset{\mathrm{0}} {\int}^{\mathrm{1}} \:^{\mathrm{7}} \sqrt{\mathrm{1}−{x}^{\mathrm{3}} }\:{dx}\:\:=\:\:? \\ $$

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