Q: O log (x)+Log (x-1) = log (8X-12)-1eogL2) %3D Ans/x= 2,3

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

Q: sun(log(1+z)) 230Log(1+ Suin2) um 2-)0 log(i+sinx)

A: We will use the result  If limx→af(x)g(x) = 00 , then limx→af(x)g(x) = limx→af'(x)g'(x)

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: Given, graph where y=0 at x=3 y=log3x-1 satisfy this given graph  put x=3 y=log33-1y=1-1=0 now find…

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

A: The given logarithmic expression is,

Q: log₂ x+1 y² √√z

A:

Q: The effect on the graph of y = log,z if it is transformed to y = log,(z+3)? may be described as Oa…

A:

Q: log. (2-1)-log. (x-u)= 2 log Cao) (x-4)=

A: Use the following properties of the logarithmic functions, while solving this equation. log a - log…

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: Suppose a new screening tool is developed for prostate cancer in men with much higher sensitivity…

A:

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

A: we have to find logx34=-23

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: 9. log- log, 5 = log 5

A: A detailed solution is given below

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: 1+ax log 1-ax dx x 1-x Evaluate

A:

Q: Hiw/ prove That: logit 210gi @ log (iti)= 2 log (iti) ® log é#2log Z it z=

A:

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

A:

Q: log3 (V9) x log3(9) log;(52) x log5(5) log3 (35) x log3 (3) ||

A: We solve here logarithmic problem.

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

A:

Q: log31 = logo(1- 4x) log(3x- 2) 5 log, y +5 log2 4 log x = r(x) %3D h(x) = logs 3+x

A: Given: We have to identify the given as function, equations, and inequality. The function can be…

Q: 2 log, u - 3 log, 4 log, V -

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer ir terms of log x,…

A: We have to find the expansion

Q: log, 12 log, 11 log, 5 log, 27) 2 2 2 2 A) log, V4620 s". 12 C) log, B) log, (12 - s' . 11') D) log,…

A:

Q: log, (x – 5) + log,(x + 3) = 1 In(5x) + In x = ln(100)

A: As per guideline we have to solve the one question

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

A:

Q: 1+ax dx Evaluate log 1-ax x 1-x

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: The logistic function ranges from 0 to 1 and has an 'S' like shape to it. O True O False

A:

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

A:

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: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: 8. If log,x = log 6, then x =

A: Given : logax = loga6

Q: Logarithm base b Prove that log,x dr (x In x – x) + C. In b

A: To prove: ∫logbxdx=1lnbxlnx-x+C Proof: From properties of logarithm, we have lognm=logmlogn And…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: log (a.b) = log (a) + log (b) log (an)= n.log(a)

Q: 3. Express in Exponential Form 5. log 81 4 log, m = n Gen Math Page 7 of 8 C. Express in Logarithmic…

A:

Q: Solve for x using natural logarithm. (Show solution) 1) 5x-2 = 33x+2 1 2) log, 1 1 = x logs t 3) 2…

A: Logarithms

Q: 4 -3 2 1- -8 -7 -6 -5 -4 4. 5 1- (-1,=1) 2 (0, –2) -3 |(1, –4) -4 -5 -6 -7 -8 f (x) =| log (x+

A: We can solve this using given information

Q: 4log 3 - 3 log 3 =

A:

Q: Log 2 = 0.301    Log 3 = 0.477  Log 5= 0.699   Log 7 = 0.845 Using the above information and showing…

A: Explanation: Given that,                                   Calculate the given log value…

Q: 5 log, (p + 1) +2 = -8

A:

Q: 12 log Vw + log Vw - ¿log u 2

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Given,           logx4y5

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

A:

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

A:

Q: d) ln 3 − ln x − ln(x + 5) = 0 (e)log4 (x + 2) − log4 (x − 1) = 1 (f) log2 (x − 1) − log2(x - 1) -…

A: We have to solve the following equation for x.

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

A:

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

A:

Q: (a) Prove that log₁ x= -log₁ x where a > 1. a

A: