I) The graph of the logarithmic function y = log, x can be described as a) decreasing and b) increasing and concave up c) decreasing and concave down d) increasing and concave down concave up ii) If we evaluate log,, V30 exactly then the answer is V30 a) V30 b) 15 log 30 15 c) d) - log 2 4 log15

Q: Suppose log. (2) = 3 and log.(5) = 7. Find the following: %3D %3D a) log. (10) b) log.(25) c) loga

A:

Q: log,a %3D Show that log, b

A: Recall: logab=x⇒ax=b

Q: 11) Fill in the table below, make the graph, and identify the key features. n(x) = log,; %3D 5 5 5…

A: See the attachment. Send your feedback please.

Q: Given the functions ) - logz and )-2-x which of the following is most likely the graph of-Aet?

A:

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

A: We have to express

Q: ) approximate the value of log, 24, given that log, 2 = 0.356 and log, 3= 0.565

A:

Q: Find the intervals in which ,* is increasing or decreasing logx

A: use the first derivative for finding increasing and decreasing intervals.

Q: Kw.: Solve dhe equekions : Logx= log (2-) 2. 4 2 Log (x+2)- Lag x e + e (3 -2 e e -- 4 e +e éte =2…

A:

Q: 2. Use the product property of logarithms to write as the sum of logarithms. Simplify where…

A: Given,  a  log464xy  b log100z clog22m.4n  We have to write the logarithms as sum of  logarithms.

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: 1. Use the definition of the logarithmic function to find x in the following equations: a) log, 25 =…

A: NOTE:- As Posted multiple independent questions,we are answering only first question as per bartleby…

Q: a) Evaluate without a calculator -3 3 14 e) 27 -% b) 32% f) 9 25 3/2 c) - 24 d) +64 9) 30+2-12

A:

Q: On the previous two pages you graphed and analyzed two functions, f(x) = 2* and g(x) = log, x Now…

A: Hi thanks for your question but we are entitled to solve one question at a time so i am providing…

Q: Number 1.  a) Express log 36 in terms of log 2 and log 3. b) Given that log 2 = 0.301; log 3 =…

A: 1) a)    2* log 2 + 2 * log 3 b)   0.079

Q: If loga (3x + 2) + log, 1= log, 8 then x= %3D Select one: Oa. 1 O b. 0 Oc. 2 d. 3

A: It is an important part of statistics. It is widely used.

Q: 1. Complete each of the sentences. No need to show work. a) The inverse of y = log x is b) Rewrite…

A:

Q: 1. Consider the following functions: y = log2x and y = 2.3* 2.3 Sketch each on the same grid. For…

A:

Q: Simplify the following logarithms. a) b) log 15' log,85 d) c) log,25 + log,625 Jog3 27

A: We need to simplify the given expressions.  For (a),    log285=log2215Apply log rule:  logaax=x.=15…

Q: Simplify, in each case state which Logarithmic Law you are a. 2log12 3+ 4log122 b. log825+ logg10 -…

A: 1  logabn=nlogab2  logab+logac=logabc3  logab-logac=logabc4  logaa=1

Q: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: Given that log(5) - 0.73 and log, (2) - 0.32, evaluate each of the following: a) log,(125) = b)…

A:

Q: 1. (1 point) Use properties of logarithms to simplify the following expressions. a.) log.(43)= b.)…

A: 1) a) log4​(43)=3log4​(4)                 =3                              [loga​(a)=1 ] b) eln21​…

Q: 4. Find the value of x in each of the following logarithmic equations. a) log5 x = 3 b) log, 169 = 2

A: Formula used