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LogarithmsQuestion and Answers: Page 2
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Question and Answers Forum |
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LogarithmsQuestion and Answers: Page 2 |
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| log _4 (5^x −3^x ) = log _5 (4^x +3^(x ) ) |
| solve for x log100+log(2+x)=10 |
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| ∫^( (π/2)) _( 0) ((ln(cost))/(sint)) dt=??? |
| If (ax)^(loga) = (bx)^(logb) then prove that x = (1/(ab)) . |
| If y = ((e^x − e^(− x) )/(e^x + e^(− x) )) then show that x = (1/2)log_e (((1 + y)/(1 − y))). |
| If f(x) = ln(((1 + x)/(1 − x))) then prove that f(((2x)/(1 + x^2 ))) = 2f(x). |
| If f(x)=∫^( x) _( 0) (dt/(t+e^(−f(t)) )), determine f(x) |
| log_a x=30 log_b x=70 log_(ab) x=? |
| ∫^( +∞) _( 0) (((lnt)^2 )/(1+t^2 ))dt |
| Calcul ∫^( (π/2)) _( 0) t(√(tan(t))) dt |
| Calculer ∫^( 1) _( 0) ((ln^2 t)/( (√(1−t^2 ))))dt |
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| please can someone solves this |
| If x = 2^p and y = 4^q then prove that log_2 (x^3 y) = 3p + 2q |
| Find the value of x from the following equations: 4^((x/y) + (y/x)) = 32 log_3 (x − y) + log_3 (x + y) = 1 |
| Select the correct option with explaination: If (1/3)log_3 M + 3log_3 N = 1 + log_(0.008) 5 then a. M^9 = (9/N) b. N^9 = (9/M) c. M^3 = (3/N) d. N^3 = (3/M) |
| Choose the correct option: If a, b and c are consecutive positive integers and log(1 + ac) = 2k then the value of k is: a) log a b) log b c) 2 d) 1 Give the explaination also. |
| There exists a unique positive integer a for which The sum u = Σ_(n=1) ^(2023) ⌊((n^2 −na)/5)⌋ is an integer strictly between −1000 & 1000 find a+u. |
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| log(−10)(−10)=? |