3. Determine the value for the following expression using the logarithm and exponent laws. Show all detailed work. (Show at least four steps of calculation including use of laws/rules. Final answer must be written in fraction form.) Evaluate each log then calculate! log, + log, Vr* -log, xi

Q: 1. Write the following as the sum or difference of logarithms. Simplify as much as possible. Assume…

A: Logarithmic functions and exponential functions are considered to be the inverses of each other as…

Q: 1. Write the logarithm possible. as the sum or difference of logarithms. Simplify each term as much…

A: The following rules are used in simplifying the given logarithms. lnmn=lnm+lnnlnmn=lnm-lnnlnmn=nlnm…

Q: 28. Use the properties of logarithms to approximate the following, given logb 2 ≈ 0.3563, logb 3 ≈…

A: Given: logb2≈0.3563, logb3≈0.5646 and ogb5≈0.8271 To find: The value of logb40

Q: Expand the following expression using the properties of the logarithms. Assume x and y are positive.…

A: Consider x,y>0 . Properties of logarithm:  Product rule : ln xy=ln x+ln y Quotient rule :…

Q: Evaluate value of the following log9 x log3 x

A:

Q: 5. Determine the value for each of the following logarithms. (Easy) (a) log, 32 (b) log, 49 (c) log,…

A: Given:alog2 32blog7 49clog3 6561dlog4 1024Logarthmic formula:logb bp=p

Q: 4. Condense or Expand the following expressions involving logarithms; A. 2 log, a - logs y? B. 3 ln…

A: We can answer the question as instructed in the following steps.

Q: Use the change of base formula to express log, 8 using In, the natural logarithm. Provide your…

A:

Q: Expand the following logarithm so that it contains no products, quotients, or powers. e2x+3 a. In…

A:

Q: Write the following difference as a single logarithm. Assume all variables are p log, (2) – log,(11)…

A: We have to find

Q: 6. A. Apply the properties of logarithms to expand the following expressions and simplify as much as…

A: Apply logab= loga + logb           loga/b=loga-logb

Q: 7. Condense the expression to the logarithm of a single quantity. 6log,, x – 4 log,(x +9) [A] 24 log…

A:

Q: 1. What is each expression written as a single logarithm? a. log, 5x + log, 3x b. 2 log, 6 – log, 9

A: Use log rule

Q: 20) Find the exact value of the logarithm without using a calculator. log,64 =

A: The given expression is log464

Q: 3. Rewrite each of the following expressions in the specified form. Show the steps leading to your…

A:

Q: 14. Expand the following logarithmic expression as much as possible. .3..2 logb ab2

A:

Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

Q: 10. Use the properties of logarithms to condense the expression 2log(x + 3) + log(x –12) to a…

A: To condense the below logarithmic expression in a single quantity. 2logx+3+logx−12

Q: 5. Place the following logarithmic expressions in order from least to greatest. i a. log, 65 b. In10…

A: Let's find.

Q: 1/ 4 100% ACONR (2) Simplify the following expressions using the properties of loga- rithms, or, if…

A: Here we will use the formula of logarithm   (1)  log( AB) = log(A) + log(B)   (2)   log ba =   a…

Q: use the laws of logarithms to expand the expression log_4(5xy)

A: Solution is given below:

Q: Use the properties of logarithms to write the expressions in as a single term

A: We have to simplify the given expressions 3lnt2-13-lnt+1 using properties of logarithm. Properties…

Q: 7.evaluate the following expression without using a calculator  log7^7 log7^7=

A:

Q: Expand the following as much as possible using the properties of logarithms. Express exponents and…

A: Solve the following

Q: Use the properties of logarithms to write the expressions in as a single term

A: Some properties of logarithm which you will need :

Q: Express the following as a sum, difference, or multiple of logarithms. log 2 a

A:

Q: 1. Write as the sum or difference of logarithms V5 log3- q2p a) log3 5 - log3q - log3p b) log3 5 -…

A: Given logarithmic expressionlog35q2p

Q: 13 Use the properties of logarithms to rewrite the expression and simplify if possible. 81y In (x+6)

A:

Q: Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to…

A: Given : logb2≈.401 , logb3≈.503 and logb5≈.794 To find : logb75≈?

Q: Vp°q® In e6

A:

Q: 6. Find x if the base 7 log of 126 is equal to x.

A: logab = log b / log a

Q: 4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the…

A:

Q: Express the logarithmic function below, in a different logarithmic form, by using the laws of…

A:

Q: 18) Use logarithm properties to comdense each expression to a single log. A) log, (2)+3log, (n) pol…

A: topic - logarithmic equations

Q: 1. a) Write the following expression as a single logarithm with a coefficient of 1. log(x² +3x +2)–…

A:

Q: 8. Use the properties of logarithms to expand the expression. (Assume all variables are positive.)…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: 8. Write as the sum and/or difference of logarithms. Express powers as factors. Vx +3 (x - 4)5\ In…

A:

Q: a) log, 16* b) log, 16+log, 4- log, 8

A: Given:- Log4(16)5 Log2(16) +Log2(4) -Log2(8)  To find:- Exact values of above given parts

Q: 2. Are the following statements true or false? If true, state which log property(s) make it hold…

A:

Q: 10. Use the Laws of Logarithms to expand each expression as much as possible. poss evaluate…

A: (a) Consider the given expression lnex Use logarithmic property lnmp=lnm-lnp and lne=1…

Q: 7) use the properties of logarithms to: a, expand the expression log(x3z y2)

A: Consider the given expression log(x3z y2)

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: c) In(4t*) –…

A: To simplify12ln(4t4)-ln2

Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

A:

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: b) In(3x² –…

A: ln3x2-9x+ln13x

Q: 1 Find the logarithms of the following numbers to the base 3

A: To find:-  logarithms of number 9 to the base 1/3

Q: I.Evaluate the following logarithmic expressions: log; 652 1. log,() 32 2. II. Rewrite the following…

A:

Q: 1. Evaluate the following. Final answer is in exact form, no decimals. 1 log, 16 – log, 32 log7 a)…

A:

Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: 2. Use the properties of logarithms to simplify the expression so that the result does not contain…

A: