4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True O False

Q: d) The inverse of the exponential function y = bx, is obtained by interchanging the x and the y…

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Q: 2. Use BabyStep-GiantStep to compute log;(12) in Zr.

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Q: Find so log,12-3-log,61-2) 2

A: We are given: 12log2t2 = 3 - log2(3t-2) We need to solve for 't'. This can be done as follows:

Q: Integrate f 72x+3 527+3 а. +C In49 O b. In42 727+3 72a+3 +C О с. + C log49 72z+3 O d. In49 + C a.

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Q: Gwen that Log (y-D+Log and Log, Cy +1) + Show that 4?=1+82 and find The 2/- Log,x=7-1 y² Possible…

A: Given, log4y-1+log4x2=z....1log2y+1+log2x=z-1....2 Now, solving (1) we get,…

Q: Express as sums or differences of logarithms. log yz *(Show your usage of the log properties.)

A: We have to the express given logarithm eqution

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: valuate. Express result in Rectangular Form correct decimal places. z = log(1-5) (2 + 4i)(1-2t) +…

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Q: 9. Simplify. State any restrictions on variables. log (x²-x-6) - log (2x-6) [K-3]

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Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

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Q: (log3 x)“ dx

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Q: The logarithmic equation log(x+3) -2= -log(x-2) has Select one: a. an extraneous root of x = -6 b.…

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Q: Find / dx. ex+e-X o log(e* – e-*) + C O None o log(2e") + C O log(e* + e¯*)+ C

A: let  I= ∫ex-e-xex+e-xdx

Q: B. Use the properties of logarithm to express the following as a single logarithm. 6. log m + log n…

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Q: Which of the equations are TRUE based on the exponential function. 2* = 16 Consider the following…

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Q: If log,, 2,log,o (2" – 1) and log,o (2* + 3) are in A.P then find thę yalue of x.

A: Topic = Sequence

Q: 1 Evaluate the expression log 55 O- 1 2

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Q: log, 5 – log, 8 log, ||

A: Solved below

Q: 22. If log, (3¹) = then b = OA B Oc C OD (A) 119 (B) 3 (C) 9 (D)

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Q: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

Q: 5log(8)-1 log(x)

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Q: Solve for x in each of the following. Make sure to check for extraneous solutions! a) log,(x - 4) =…

A: Given a log4x-4= log43x-1b log32+ log3x-5=4c log6x2-6= log6x

Q: What is the value of x in the equation 93r+1 = 27*2? 1) 1 2) 3)글 4) 4/3

A: An exponential expression consist of powers of variables or numbers. An exponent in exponential…

Q: 4. Ir log a 1, log, 81=b and log, 4 2 then find the value of log ().

A: