The expansion of the logarithmic expression x-1) InFar a) 2lnz + n(x + 1)-글n(2x-3) is (2x-3) b) 2lnx +In(x – 1) – In(2x – 3) c) 2lnx – In(x + 1) –In(2x – 3) d) 2lnx +In(x + 1) -In/(2x- 3) | Select one: O(C) (b) (a) O (d)

Q: log5 6 is irrational

A: We can prove given result by contradiction method:

Q: 16 What is the fully expanded form of log;- .? (A) 2log, 4 -log , 5 (B) 2log;4+-log ; 5 (C) 2log , 4…

A:

Q: snip

A: To prove,  loga1N=-logaN where, a  and  N are positive real numbers and a≠1. Now, take the left…

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: ( logb 16 -     logb 4 ) + ( logb 5 )   ( log3 3 +   log3 6 +  log 3 2 ) – ( log 3 18 )

A:

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: V1024(V64)") 1. Express exponential rules only. as a single exponent with a base of 2. Show all…

A: topic - exponents

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: 9. Express 11' as a power with a base of 2. А. log, 11* log 2 log 11 С. log, 11× log, 4 4 log 11 В.…

A:

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

A:

Q: 1. The solution to the cquation 53x = correct order on the right of the question. 4x+1 is given…

A: Re arranging steps in correct order,..

Q: Log (3x-5)-109 (4x+1\ = Log x+6)-L09x+2 8, 8,

A:

Q: f (x) = In(x + 4) + 3 %3D f(2) 3 e2-6- 4 %3D f (x) = log(a- 2) - 8 %3D f (x) = 108+2 ----- f (x) =…

A: Some functions are given and the inverse of the functions are also given. We have to check that…

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

A:

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

A:

Q: Show that log,(n) € O(log,(n)) for any b>0 with b 1· Generalize this result.

A:

Q: 10. Prove that (log2 3)-1+ (log4 3)-1 < 2.

A: Simplify the powers of the term (log23)-1+(log43)-1 by writing the terms as fractions.…

Q: Log 2 = 0.301, log 3 = 0.477,  log 5 = 0.699 and log 7 = 0.845 Using this information only, find:-…

A: According to the given information, The given log values are:

Q: الوقت المتبة The expansion of the logarithmic expression x2 In (x+1)/(2x-3) is a) Inx + In(x + 1) –…

A:

Q: (b) Suppose log,(5) = c and log,(2) log, (50) in terms of c and d, but not involving logarithms. d.…

A: objective is to find the expression.

Q: 1. log 7x 2. log,10a log 5(7)-log5(x) log 5(10)-log5(a) 3. logs 4. log;7x log 5(5)-log5(a) 5. log,x…

A: Use property of log

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: Write log2(9/5)i n terms of log2 3 and log2 5

A: We first use the division property of logarithm

Q: Method 2: 51-3 = 10 => log, (5-) = log, 10 t-3 = log, 1C by(2) a) 4·73t-1 = 7 35t b) 7 – 4 = 6 c)…

A:

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: 1. Simplify the expression with four a(0,3,4,7,10,12,14).Draw the Circuit in logisim with minimum…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 27a b² Evaluate log, (- V81cd whenever log, (a) = 4, log3 (b) = 0, log, (c) = -1, and %| log3 (d) =…

A:

Q: 13. Determine whether or not each statement is true or false for all x>0 & y>0; if a false, provide…

A: The solution is :

Q: 43. Graph f(x) = 4x and g(x) = log4 x in the same rectangular coordinate system. 44. Graph f(x) =…

A: 43) Graph

Q: Show that loga ( 1/N) = - loga N, where a and N are positive real numbers and a ≠ 1.

A: To Show: loga1N=-logaN, where a and N are positive real number and a≠1. Concept: i.…

Q: 37. Express log b = 16x²vz* in expanded form. %3D V(x-13 A. Log b16 log bx²y log bz-log b (x-1)² B.…

A: We have to apply logarithmic formula

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A:

Q: 4. I. The simplified form of 4 log, " +5 log2 -3 log, z is log2 II. The expanded form of log, p is 2…

A: There are four following math lagarithm formulas

Q: 3. One way to express k5 in terms of p and g is k5 = 4. If log- (r) = – 16, one way to express r in…

A: Given that:logk(p)=7 so, k7=plogk(q)=-3 so, k-3=q3) k15=k21-6=k21×k-6=k7×3×k-3×2=k73×k-32=p3q2Note:…

Q: uv uw log- + log- + log– – log(uvw) W

A: Given,            loguvw+ loguwv+ logvwu -  loguvw

Q: log base 3 (x+3)+log base 3 (x-3) = 3

A:

Q: 7. If logab = x³ and log, (÷), determine the value of x by showing all steps in using the…

A: Given logab=x3 and logb4x2 Now, logbc=k. Then, bk=c           . . . (1) Applying this rule here,…

Q: a) log2 25 – log, 5 is the base 2 logarithm of ) 4 In x + In(x – 25) is the base e logarithm of

A:

Q: 89+3 12 89+3 12 ) log( ) = log( log( log( ----- L-----

A: To solve the given expression

Q: Which statement is true? 4 is a solution of 25x +3 > 73- O 4 is a solution of logx + 2 < 2. O The…

A: We have to check

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

A:

Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Prove that log3(25) is irrational.

A:

Q: If log, 4 = a and log27 5 = b, express log3 80 in terms of a and b HINT: express 80 in terms of a…

A:

Q: V (P) = log (2) (5) + + log (4) 2, + log (8) = log (4) + ...

A:

Q: 109. Show that log = log, M – log, N, where a, M,and N N %3D are positive real numbers and a + 1.

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…