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LogarithmsQuestion and Answers: Page 1

Question Number 218279 Answers: 2 Comments: 0

Evaluate: (4^(log_(5/4) 4) /5^(log_(5/4) 5) ) Show workings please.

$Evaluate :$ $\frac{4^{\log_{\frac{5}{4}} 4}}{5^{\log_{\frac{5}{4}} 5}}$ $Show workings please .$

Question Number 217691 Answers: 3 Comments: 0

Question Number 215951 Answers: 1 Comments: 0

E_n = 3^E_(n−1) , n≥2 find the unit digit of E_(1000)

$E_{n} = 3^{E_{n - 1}}, n ⩾ 2$ $f i n d t h e u n i t d i g i t o f E_{1000}$

Question Number 215840 Answers: 2 Comments: 2

log _(24) 3= a and log _(24) 6 = (b/6) log _(√8) (b−4a)= ?

$\log_{24} 3 = a and \log_{24} 6 = \frac{b}{6}$ $\log_{\sqrt{8}} (b - 4 a) = ?$

Question Number 215089 Answers: 1 Comments: 0

log _2 x + log _3 (x+1) = 5 x = ?

$\log_{2} x + \log_{3} (x + 1) = 5$ $x = ?$

Question Number 213923 Answers: 3 Comments: 0

Question Number 212645 Answers: 0 Comments: 0

{ ((x=2+ log _2 log _2 y)),((y=2 log _2 z )),((z=2+ log _2 log _2 x )) :}

${\begin{cases} x = 2 + \log_{2} \log_{2} y \\ y = 2 \log_{2} z \\ z = 2 + \log_{2} \log_{2} x \end{cases}$

Question Number 212515 Answers: 1 Comments: 1

The numbers of pairs of natural numbers (x,y) with x,y ≤ 33 that satisfy 5 ∣ 3^x^(y−1) + 2^y^(2x) is ... (A) 295 (B) 296 (C) 297 (D) 298 (E) 299

$The numbers of pairs of natural$ $numbers (x, y) with x, y ⩽ 33 that$ $satisfy 5 ∣ 3^{x^{y - 1}} + 2^{y^{2 x}} is . . .$ $(A) 295 (B) 296 (C) 297 (D) 298 (E) 299$

Question Number 212101 Answers: 0 Comments: 0

Question Number 211815 Answers: 1 Comments: 0

ax^2 +bx+c=0 has roots α and β and (α/β)=(λ/μ). show that λμb^2 = ac(λ+μ)^2

${a x}^{2} + b x + c = 0 h a s r o o t s α a n d β$ $a n d \frac{α}{β} = \frac{λ}{μ} . s h o w t h a t λ μ b^{2} = a c {(λ + μ)}^{2}$

Question Number 209991 Answers: 2 Comments: 0

((10^(log _3 (6)) . 15^(log _3 ((2/3))) )/(6^(log _3 ((2/3))) . 5^(log _3 ((4/3))) )) =?

$\frac{10^{\log_{3} (6)} . 15^{\log_{3} (\frac{2}{3})}}{6^{\log_{3} (\frac{2}{3})} . 5^{\log_{3} (\frac{4}{3})}} = ?$

Question Number 208503 Answers: 0 Comments: 0

Question Number 208412 Answers: 2 Comments: 0

Question Number 208384 Answers: 2 Comments: 0

⇃

$⇃ \underset{―}{}$

Question Number 208322 Answers: 1 Comments: 0

Question Number 208139 Answers: 1 Comments: 0

Question Number 208083 Answers: 2 Comments: 0

∫_([0,∞]) ((1/x))^(ln(x)) dx

$\int_{[0, \infty]} {(\frac{1}{x})}^{l n (x)} d x$

Question Number 206303 Answers: 1 Comments: 0

log_2 4

${l o g}_{2} 4$

Question Number 205496 Answers: 1 Comments: 0

Question Number 204300 Answers: 1 Comments: 0

x^2 log_3 x^2 −(2x^2 +3)log_9 (2x+3)=3log_3 ((x/(2x+3)))

$x^{2} \log_{3} x^{2} - (2 x^{2} + 3) \log_{9} (2 x + 3) = {3 \log}_{3} (\frac{x}{2 x + 3})$

Question Number 204174 Answers: 1 Comments: 0

Question Number 203375 Answers: 0 Comments: 4

valeur x? (∡ECA =90)

$valeur x ?$ $(∡ ECA = 90)$

Question Number 202172 Answers: 1 Comments: 0

If log_(12) 18 = A and log_(24) 54 = B then prove that AB + 5(A − B) = 1.

$If \log_{12} 18 = A and \log_{24} 54 = B then prove$ $that AB + 5 (A - B) = 1 .$

Question Number 202128 Answers: 0 Comments: 0

Question Number 200224 Answers: 3 Comments: 0

Question Number 199956 Answers: 1 Comments: 0

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