7) log-2(-8) = x 8) logix = 5 2 9) 2* + 2* = : 10)3*+2 = 92x-3 2

Q: -1)*+1 Ln=1 ¯n•I0* O error| < 2 × 10 -6 O error| < 2.5 × 10-6 O error| < 2.5 × 10–5 O error| < 10-5

A: Given: ∑n=1∞-1n+1n.10n. All the options have 6th term expanded. Therefore, we will check for , n=6.…

Q: 1. lim (2*+5 - 7) 6. lim (ln3x -- 8) - 7 X-5 x--3 2. lim (22x-1-3) 7. lim log2 (x² + 4x + 4) w X-3…

A: 1) Given:                  limx→52x+5-7 Plug in the value x = 5                 =25+5-7=210-7=1017…

Q: The logarithmic expressi on In can be rewritten as (1) 3ln y- 2 In y- 6 (3) 2 1-6 In y (2) 2 (4) Vin…

A:

Q: 3

A:

Q: Log 2= 0.301, log 3= 0.477, log 5=0.699 and log 7=0.845 Find:  Log 2.4 Log 6/7

A: (i) log(a/b) = log(a) - log(b) (ii) log(ab) = log(a) + log(b)

Q: 6. Use rules of logs to write as the log of a single quantity. a) 2log3 x - log3 4 b) In x + In(x+1)

A: We will use the listed properties of logarithm to solve this question.

Q: 9. Between what two consecutive integérs must the value of log,s00) lie? Justify your answer. gol-v

A:

Q: 2 2. + logio x - 3 = 0 10 %3D logx 10

A: 1logx102+log10x2-3=0Apply log rules:2log10x2-3=0Rewrite the equation with log10x=u2u2-3=0u=32,…

Q: Express th equation in exponential form.

A: a). Given, lnx+1=2 The exponential form is, x+1=e2         ∵lnx=y⇒x=ey⇒x=e2-1

Q: 4) 19-17-log₂ (2x+4)

A:

Q: The Gibbs Free Energy equation is given by the equation: AG = AG° + RTln Q Where: AG = Gibbs Free…

A: We have to find

Q: 8. Use the laws of logarithms to expand In in terms of sums, differences, (cos x)(x +1) and…

A: Some properties of logarith m are :(i) ln(a b) = ln a + ln b(ii) lnab = ln a - lnb(iii) ln ab = b l…

Q: (5-3x^2)^7 (square root 6x^2+18-12) how would this be solved using logarithmic differentiation?

A:

Q: 15. Solve log5(5 – 3x) – 2log;(7 + x) = 1

A:

Q: PROVE that log5 100 = 2(1 + log5 2)

A:

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log16 x…

A: Given logarithmic equation is: log16 x + log4 x + log2 x = 7 We have to solve for x.

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2…

A: Given logarithmic equation is: log2 xlog2 x=4 We have to solve for x.

Q: order

A: Given function is: fx,y=cos2xy2-3x2y3 Then we get,…

Q: 9.1) How would you compute log(4531.2) using a table with inputs between 1 and 10? Can you explain…

A:

Q: 15. Solve log5(5 – 3x) - 2log5(7 + x) = 1 %3D

A: We can find the answer as below

Q: 2..3 I. 1.The expression log is equivalent to (2logx + 3logy - logz) 2) (2logx + 3 logy) – logz | 3)…

A:

Q: 43. (log3 x)2 - 3log3 x = 10 noituloe adi aamizoq

A: According to our terms and conditions I have solved first question for next question repost

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

A:

Q: How do I solve 8^2x-5=5^x+1 And the equation  2+log10 √1+x+3 times log10 √1-x=log10 √1-x^2 For x?

A:

Q: 1. Solve by using your calculator. log, (-3+2x)+log, (x +1) = log, 9² Round to nearest two decimal…

A:

Q: 2log x-1=log(x-1)

A: Given:  2logx -1=log(x-1)we know that alogb =logba   then 2logx=logx2Then    logx2-1=log(x-1)…

Q: 2log(base 2)(x-8)-log(base 2)x=2

A: Given,

Q: 2. In (x + 2) + In 2 = 3 | 4. log:9 – logs (x+ 10) = 1 6. log, (x² +3x) – log, (x + 5) = 1

A:

Q: 9.5. Show that (a). Log(1+ i)? = 2L0((1 + i) but (b). Log(-1+i)² + 2Log(-1+ i). %3D

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2…

A: Given, log2 (3x + 2) - log4 x = 3

Q: Find all x- and y-intercepts of graph of y = -3 +log2(x2 - x +2).

A: Given function is y=-3+log2x2-x+2

Q: Example 2.28. Find a real root of 2x - log 10 iteration method. 7 correct to four decimal places…

A: The give polynomial is 2x-log10x=7. To find: the root of the polynomial.

Q: 7. Use properties of logarithm to expand In (y³z²Vx – 1)

A: Property of logarithm

Q: 4, world population P in billions during year x can be modeled by P (x) = 7(1.01)"-2011. Predict the…

A: The given statement population P in billions during year x can modeled by  P(x) = 7 (1.01)x -…

Q: y = log sin x (csc 4x)

A:

Q: 17. Solve log3 (5z +1) > log;(3z +1)

A:

Q: amount of 1500 is invest for 5 years at the rate of 2% for the first two years, 5% for the third…

A: Given query is to find amount after 5 years.

Q: 1. Solve by using your calculator. log, (-3+2x)+log; (x+1) = log, 9² Round to nearest two decimal…

A:

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

Q: 1. Rewrite 2In(x)-3In(z) as a single logarithm

A:

Q: 2. Evaluate [log(-1-1)(-2- j2)] cosh- tan(4 + 3i)

A:

Q: 1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

A: we have to match

Q: 9. -2 8) logx 4 3.

A:

Q: 10. y = log2(sin x)

A: We have to find derivative. o differentiate given question.

Q: 2. Solve for x: log, (x² + 8x- 20)–log, (x-2) =2 Ans 2 x=.

A:

Q: Evaluate / x. sec² 2x. dx. x.tan2x + + ilog(sec2x) + C 2 O log(sec2x) + C O None xan - log(sec2x) +…

A:

Q: 7. If the equation 3(5)“ =k is solved for x in terms of k, the result is 1 k (1) x=-log, 3 3 = 2…

A: Solving this expression we have

Q: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…