9. log- log, 5 = log 5

Q: 4. Evaluate log, 185 to four decimal places. Show algebraic processes (no guess and test).

A: The given logarithmic expression is,

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

A:

Q: 3 – log,(2x) = log:(x – 4)

A:

Q: 6. Condense the logarithmic expression 2 lnx- In(x* +1).

A:

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: 0.004 using a log table

A: The integral part of a common logarithmic is known by, Integer parts as the characteristics and the…

Q: Expand: log, (xVy).

A: logbxy3=logbx·y13

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

A: we have to find logx34=-23

Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

A:

Q: Expand: logb(x3√y).

A:

Q: Suppose log, 2 = 5 and log, 3 = 8, find: c) log, a5

A: Given  loga2=5 and loga3=8

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: 4 Evaluate (logyx)'., having given, 1 1 y = log1,x + ; log,0x + log10x + . 00 1+3+5+ ..+ (2y - 1) 20…

A: We have to solve given problem:

Q: If you calculate 1 log2 (10!) 1 1 1 + +. log, (10!) + log 10 (10!) with a .. log, (10!) log, (10!)…

A: We will use two properties of Logarithm 1. Change of base 2. Addition of logarithm

Q: What is the base of the common log, log(x) What is the base of the natural log, In(x)?

A:

Q: 4. Expand into sums and/or differences of logarithms: (a) log, y

A: To expand into sums and /or differences of the given logarithm.logx xyz

Q: 1. What is log,, 100? What about log,00 10? 2. What is log, 4? What about log, 2? 3. Express b as a…

A: values=?

Q: Expand In (rs" Vr*s into a sum or difference of logarithms containing no exponents. > Next Question

A: Consider lnr8s7 r4s36

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

A: Using log44 = 1

Q: 2. a) Express log, 3 in terms of a logarithm to base 3.

A: We have to express

Q: Prove log, + log, 20 log, 8 = o

A:

Q: 2. Misalkan CR adalah lingkaran dengan pusat di titik asal dengan jari-jari R > 1. Buktikan Log (z2)…

A: Here we show that ∫CRLogz2z2dz<4ππ+lnRR

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

A:

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: IF LOGnB^2= 5 determine the values for logbN^3

A: Please refer the attached image for complete solution.

Q: 1/2log(4x+5)=logx

A:

Q: 7. The base of the natural logarithm system is:

A: Natural logarithm is logarithm with base e (exponential base), mostly written as

Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: 4. What is b if (log, x)' :? Зх

A:

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

A: Given,

Q: 11. If Log(3) = 0.4771 and Log(2)=0.3010, compute Log(√3456) without using a calculator.

A: Given:-log(3)=0.4771log(2)=0.3010using properties of loglog mn=nlogmlogm·n=logm+logn

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

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

A:

Q: logaz=5. find loga (1/z).

A: Given: loga(z)=5

Q: 4. If log,v =logox- (2logby+log,z), what is the value of v?

A: Logarithm s

Q: Which of the following in not equivalent to log, 3z O 4 log, y - log, 3x O 4 log, y – log, 3 - log,…

A: logmn=logm+logn log(m/n) =logm-logn

Q: 2. How many 3-letter words with or without meaning, can be formed out of the letters of the word,…

A:

Q: Which grows faster In(x) or log (x)

A: ln(x) grows faster than log(x) Look for the graph using Desmos graphing calculator.

Q: 1. Evaluate log,

A:

Q: 1. Express logx m + log, n-Glogx m- log, n): as a single logarithm.

A: As per our guidelines we are supposed to answer only one question, kindly repost the remaining…

Q: Write - Inz+In y-In x + In 2 as a single logarithm with coefficient 1.

A: Recall: (Logarithm Properties) lnmn=n ln(m) lnmn=ln(m)-ln(n) lnmn= ln(m)+ln(n)

Q: 6. List two similarities and two differences between natural logarithms and common logarithm

A: Natural logarithm is denoted as 'ln' and common logarithm is denoted as 'log'.

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

A:

Q: 2 log, 5 = log %3D 8.

A:

Q: Express 273 Olog 3 = 27 log₁3 27 log3 27 log27 3 = = = = 3 1 3 3 in logarithmic form.

A:

Q: 9. Use common logarithms to approximate log, 72 to four decimal places.

A:

Q: The union of two topo log ies is topo log y True O False O

A: