2. Evaluate: 40! (a) 4!+5! , (b) (c) log, 125 , (d) log10 0.0001, (e) 2lo82 75, 37!'

Q: Explain why. a) log(100000) = 5 b) log,( – 16) = undefined

A:

Q: Evaluate / dx (x+2)²–49 O None to log() x-5 x+3 log() -5 x+7 ts log() x-5 x+9

A: We have to evaluate: ∫dxx+22-49

Q: ab, 8) Simplify log2(-) 3

A:

Q: In(96) log2(36) = In(2) A) 4. B) In(16). C) 3. D) log2(4). E) log,(16). A) B) c) D) E)

A: We will solve the following

Q: 5. Simplify the following expression: eln(3-x) +log 10*-6 – Ine-10r+25 +10og

A: Simplify: eln3-x+log10x-6-lnex2-10x+25+10logx Concept: i. alogan=nii. logaan=n

Q: Q4. Write in simpler (1) log() 3/4 form 3 (2) log (1)³

A: Here we have to simply it.

Q: e properties of logaritl In (*)? (x+1)5 (x-4).

A: Solution -  Given function -  y=lnx+15x-42Using a logarithmic property - ln(a)b = bln(a)Implementing…

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: for 20 units. The third scale took 90 hours to produce. Based on past experience, the learning rate…

A: The given information is,  learning rate  = r = 0.88   So, b can be calculated as:

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: Q.  lay April 3 Use the change-of-base formula to eval log_(15)16

A:

Q: Which of the following are equivalent to log, (2)? (1) 2 logo -log, (8) 3 1 log(4) log(16) logo (8)…

A:

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

A:

Q: 5. Explain how the formula for differentiating the natural ex- ponential function is a special case…

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Q: Given that log,(N)=2, then logl- O-1

A: We can use the concept of logarithm in order to get the solution.

Q: The least value of the expression 2log10x – logx(0.01), for x > 1, is- (A) 10 C) –0.01 (В) 2 (D)…

A:

Q: Q1. Simplify the following expressions: 1. log3) 2. 25 log;(3x?) 3. In(eseco) 4. In(e²lnx) 5. In…

A:

Q: Select all of the expressions that are equivalent to O U O U U log, (81) 81 log (1) 9 log₂ (9) log$1…

A:

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

A:

Q: here are 4 statements below, how many of them are correct? In(a2- ab) • log,(a²– ab)= Ina log(a?-…

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Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: lator: log, (81 9 est tenth: 12* = 38

A:

Q: 1 1 + log, N' log, N 1 1 + log, N log 100 N where N = (100!)³

A:

Q: If 140 7 Then x = ||

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: 2. log (3) + log (9)

A:

Q: Expand logs(25 · x) as a sum, product, or difference of Togarithms.

A: you know: where a, b>0

Q: (b) Is the base 2 logarithm of 3, log2 3, a rational number or an irrational number? Justify your…

A: =log2(3)

Q: 2. i) Now, on your calculators, compute the following: e-24 = log2 3 =

A:

Q: In(45) -글logo(25) = In(9) A) In(9). B) 1. C) log5(9). D) log,). E) log,(5).

A: