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LogarithmsQuestion and Answers: Page 13

Question Number 81437 Answers: 0 Comments: 1

5^(lnx) = 50 −x^(ln 5)

$5^{lnx} = 50 - x^{\ln 5}$

Question Number 81364 Answers: 0 Comments: 2

log_2 (log_3 (log_2 (2/x))−1) < 1 has solution (1/a^(26) )<x<b. find a ?

$\log_{2} (\log_{3} (\log_{2} \frac{2}{x}) - 1) < 1$ $has solution \frac{1}{a^{26}} < x < b . find a ?$

Question Number 81039 Answers: 0 Comments: 2

((log_( 0,2) (x−2))/((4^x −8)(∣x∣−5))) ≥ 0

$\frac{\log_{0, 2} (x - 2)}{(4^{x} - 8) (∣ x ∣ - 5)} ⩾ 0$

Question Number 80844 Answers: 1 Comments: 2

If (log_(10) (ax))(log_(10) (bx))=−1 find x in term a and b

$I f (\log_{10} (a x)) (\log_{10} (b x)) = - 1$ $f i n d x i n t e r m a a n d b$

Question Number 80687 Answers: 0 Comments: 2

Question Number 79263 Answers: 0 Comments: 4

4^(2x−1) +(1/4)^2 log^2 (2x)>^2 log(x) {^2 log((1/x))−2^(2x) }

$4^{2 x - 1} + \frac{1}{4}^{2} \log^{2} (2 x) >^{2} \log (x)$ ${^{2} \log (\frac{1}{x}) - 2^{2 x}}$

Question Number 77805 Answers: 1 Comments: 0

Solve for x ((8^x + 27^x )/(12^x + 18^x )) = (7/6)

$S o l v e f o r x$ $\frac{8^{x} + 27^{x}}{12^{x} + 18^{x}} = \frac{7}{6}$

Question Number 76034 Answers: 1 Comments: 0

53^(log_x (7)) = (√x) x = ?

$53^{\log_{x} (7)} = \sqrt{x}$ $x = ?$

Question Number 74945 Answers: 1 Comments: 1

Question Number 74753 Answers: 1 Comments: 4

evaluate 5^(√(log 7_5 )) − 7^(√(log 5_7 ))

$e v a l u a t e 5^{\sqrt{\log 7_{5}}} - 7^{\sqrt{\log 5_{7}}}$

Question Number 74589 Answers: 1 Comments: 0

Question Number 72344 Answers: 0 Comments: 3

prove that e^(lnx) = x or a^(log_a x) = x

$p r o v e t h a t e^{l n x} = x$ $o r a^{{l o g}_{a} x} = x$

Question Number 71016 Answers: 2 Comments: 0

ln (e+ln (e+ln (e+...)))=?

$\ln (e + \ln (e + \ln (e + . . .))) = ?$

Question Number 70270 Answers: 1 Comments: 0

If log_x y = 6 & log_(14x) 8y = 3 then find the value of x & y.

$If \log_{x} y = 6 & \log_{14 x} 8 y = 3 then find the$ $value of x & y .$

Question Number 70252 Answers: 1 Comments: 0

If, log x^y = 6 and log 14x^(8y) = 3 then find the value of x, y.

$If, \log x^{y} = 6 and \log {14 x}^{8 y} = 3 then find$ $the value of x, y .$

Question Number 70008 Answers: 1 Comments: 0

Find the value of x. log_8 x + log_4 x + log_2 x = 11.

$Find the value of x .$ $\log_{8} x + \log_{4} x + \log_{2} x = 11 .$

Question Number 69974 Answers: 0 Comments: 3

Identify domain and range of this function that f(x)= ln((4−x)/(4+x)).

$Identify domain and range of this$ $function that f (x) = \ln \frac{4 - x}{4 + x} .$

Question Number 69018 Answers: 0 Comments: 1

Question Number 68712 Answers: 0 Comments: 3

given that x and y are two numbers other one. given that a>0 and b>0 and a^x = b^y = (ab)^(xy) show that x + y =0

$g i v e n t h a t x a n d y a r e t w o n u m b e r s o t h e r o n e .$ $g i v e n t h a t a > 0 a n d b > 0$ $a n d a^{x} = b^{y} = {(a b)}^{x y} s h o w t h a t x + y = 0$

Question Number 68618 Answers: 1 Comments: 0

solve for x the following equations a) log x^3 − 2log x^2 + 2log x + 2log (√x) = 3 b) log_x 24 −3log_x 4 + 2log_x 3 =−3

$s o l v e f o r x t h e f o l l o w i n g e q u a t i o n s$ $a) l o g x^{3} - 2 l o g x^{2} + 2 l o g x + 2 l o g \sqrt{x} = 3$ $b) {l o g}_{x} 24 - 3 {l o g}_{x} 4 + 2 {l o g}_{x} 3 = - 3$

Question Number 68616 Answers: 2 Comments: 0

given that a,b and c are positive numbers other than 1 , show that log_b a × log_c b × log_a c = 1 hence, evaluate log_(10) 25 × log_2 10 × log_5 4

$g i v e n t h a t a, b a n d c a r e p o s i t i v e n u m b e r s o t h e r t h a n 1$ $, s h o w t h a t {l o g}_{b} a \times {l o g}_{c} b \times {l o g}_{a} c = 1$ $h e n c e, e v a l u a t e {l o g}_{10} 25 \times {l o g}_{2} 10 \times {l o g}_{5} 4$

Question Number 67294 Answers: 0 Comments: 3

solve for x and y the simultaneous equation log_3 x = y = log(2x − 1)

$s o l v e f o r x and y t h e s i m u l t a n e o u s e q u a t i o n$ $\log_{3} x = y = \log (2 x - 1)$

Question Number 66396 Answers: 1 Comments: 0

Seja 53^(log_(1/(√e^𝛑 )) [(((x+11)!))^(1/(9999999)) ]) = 1. Calcule (x_1 /x_2 )+0,9.

$Seja 53^{\log_{\frac{1}{\sqrt{e^{π}}}} [\sqrt[9999999]{(x + 11)!}]} = 1 .$ $Calcule \frac{x_{1}}{x_{2}} + 0, 9 .$

Question Number 66413 Answers: 1 Comments: 0

(√(8+log_6 (x!)))+(√(17−log_(x!) (6))) = 7

$\sqrt{8 + \log_{6} (x!)} + \sqrt{17 - \log_{x!} (6)} = 7$

Question Number 66355 Answers: 0 Comments: 1

Value of x satiesfied y=((log_4 (x^2 −1))/(4x^2 +2x+1)) negative value is... a. −1<x<(√2) b. −(√2)<x<1 c. −(√2)<x<(√2) d. −(√2)<x<−1 e. x<−2

$V alue of x satiesfied y = \frac{\log_{4} (x^{2} - 1)}{4 x^{2} + 2 x + 1}$ $n e g a t i v e v a l u e is . . .$ $a . - 1 < x < \sqrt{2}$ $b . - \sqrt{2} < x < 1$ $c . - \sqrt{2} < x < \sqrt{2}$ $d . - \sqrt{2} < x < - 1$ $e . x < - 2$

Question Number 66354 Answers: 0 Comments: 1

If 2x+y=8 and (x+y)=(3/2)log_(10) 2.log_8 36 then x^2 +3y=... a. 28 b. 22 c. 20 d. 16 e. 12

$If 2 x + y = 8 and$ $(x + y) = \frac{3}{2} \log_{10} 2 . \log_{8} 36$ $then x^{2} + 3 y = . . .$ $a . 28$ $b . 22$ $c . 20$ $d . 16$ $e . 12$

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