Simplify the expressions in Exercises 65-68. 65. a. 5logs7 b. 8logavi c. 1.3log 75 d. log, 16 e. log, V3 f. loga 66. a. 2log,3 b. 10og(1/2) C. 7log, 7 d. logi 121 e. log121 11 f. logs 67. a. 2loga b. glog,x 2)(sin x) c. log, (elin. c. log4(2 sin x) 68. a. 25logs(3) b. log.(e") -lo

Q: How are the two equations 102=100102=100nn and [][]log10(100)=2log10⁡(100)=2 related?

A: We need to show relation between given equation.

Q: 8, Sketch f(x) = log, using 16. properties transformations. of logarithms and

A: Parent function = log2x 1)Negative sign before parent function indicates reflection over x - axis.…

Q: For Exercises 25-26, use log, 2 = 0.289, log, 3 - 0.458, and log, 5 - 0.671 to approximate the value…

A: (25) logb 72=logb 9·8=logb 32·23=logb 32+logb 23=2 logb 3+3 logb 2=2·0.458+3·0.289=1.783

Q: Use the definition of logarithm to determine the exact value of each expression in Exercises 1-10.…

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Q: From the equality 10²- - 50 find the value of t by using the equivalent logarithmic form. ±/1+log 50…

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Q: log5 6 is irrational

A: We can prove given result by contradiction method:

Q: (ii) log,(x+3)=1–log,(x-1)

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Q: log(x) is the exponent to which the base 10 must be raised to get ---Select--- ♥ So we can complete…

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Q: 120 FIK)T log, =x, express log in terms of x

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

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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: 4. Use the properties of logarithms to expand the expression as a sum, differences, and/or cons…

A: The given expression is logbx5b6y7z164 We expand the expression as sum , difference of logarithm…

Q: he expression logx (ab) is equal to   1. logx (a+B0 2. (logxa) (LogxB) 3. log (ax+bx) 4. logx a…

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Q: Because I cannot simplify the expression bm + bn by adding exponents, there is no property for the…

A: The expression bm+bn cannot be simplified by adding exponents, because we add the exponents when we…

Q: Let a = ln2 and b = ln3. Use the log properties to express the value ln72 in terms of a and b.

A: By using logarithmic property, we express the given logarithm.

Q: Simplify the expressions in Exercises 65-68. 65. a. 5log, 7 b. glog, V7 c. 1.3log. 75 d. log4 16 e.…

A: Since we only answer the first question with up to 3 sub-parts, we’ll answer the first 3. Please…

Q: jlog(4- ji') (541.5) In log(4ejn) j log(-7)

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Q: Use these formulas to express the numbers in Exercises 61–66 interms of natural logarithms.61.…

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Q: Simplify the expressions in Exercises 65-68. 65. a. 5kogs7 c. 1.3loga 75 d. log, 16 e. log, V3 f.…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: For Exercises 79-92, write the domain in interval notation. (See Example 9) 82. k(x) = log:(5x + 6)…

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: Determine whether the equation log6[4(x + 1)] = log6 4 + log6(x + 1) is true or false. Where…

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Q: What is the value of x in logx > 2log4?

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Q: In Exercises 23-25, write each expression as a single logarithm. 23. 8 log, x log, y 24. 7 logs x +…

A: The given expression is 8log7x-13log7y

Q: Expand the expression. If possibl youv answer without expenehts. log6 A3+x2

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Q: In Exercises 109112, find the domain of each logarithmic function. 109. f(x) = In(x² - x - 2) 110.…

A: The domain of a function is the set of values of the variable which can be input into the function.…

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning : "I…

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Q: Rewrite each of the expressions in Exercises 50–52 as thesum, difference, or multiple of logarithms.

A: A logarithm is the power to which a number must be raised in order to get some other number. Example…

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

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Q: b). Condense the expression into the log of a single quantity: 3logx + 2logy - logz Ans.

A: Given, The expression 3log x + 2log y -12log z.

Q: For Exercises 56-58, use log, 2 - 0.289, log, 3 = 0.458, and log, 5 = 0.671 to approximate the value…

A: given: logb2≈0.289logb3≈0.458logb5≈0.671 we have to find the approximate value of the following…

Q: 93. Use the results of the two exericses above to prove that: (a) log,(÷) = - log, x (b) log,(÷) =…

A: (a) We have to prove that logb1x=-logbx. Consider LHS=logb1x. Use the exponent rule 1am=a-m to…

Q: Evaluate the expression without using a calculator. logzv3 O3 O1 1

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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: Between which two consecutive integers must log, (40) lie? Be sure to explain your reasoning. //…

A: We have the given number as log340 Let us consider that, 33<40<34

Q: If log base b (x)=0.35 and log base b (z)=0.85. Evaluate the expression of log base b (square root…

A: We have given and we need to evaluate :

Q: For Exercises 115-126, solve the equation. 10 - 13· 10* 115. 9e = 4 117. (In x) - In x = -4 = 4 116.…

A: The given equation is the exponential equation, hence exponent properties help to solve the…

Q: I estimate that log8 16 lies between 1 and 2 because 81 = 8 and 82 = 64.Determine whether the…

A: Given information: The value of log816 lies between 1 and 2, because 81 = 8 and 82 = 64.

Q: For Exercises 45-68, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: Given the function Ax) = logx determine the value of af'(23)- O 1023 23 2.3 230

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Q: .162,8 Write expression log as a sum or z16 difference of logarithms with no exponents. Simplify…

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Q: Interpret the  coefficients of any 2 variables with their individual significance, all variables are…

A: Given, the result of a regression analysis where the variables are in log form. The interpretation…

Q: How are the two equations 102 = 100 and log10 100 = 2 related?

A: Here I am attaching image so that you understand each and every step.

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: 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: 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: Write as the log of a single quanity: 1/2 [3logx + logy - log5]

A: Given that 12[3logx+logy-log5]simplify it in single log quantity

Q: Show that, log(-1+i)² # 2log(-1+i).

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

Q: Write out a table of discrete logarithms modulo 17 with respect to the primitive root 3.

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Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

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Q: log, n - Glog, m – log, n) as a single logarithm. 4 1. Express- log, m + logx n) as a single…

A: We have to convert the following into a simple logarithm form -  34logxm + 23logxn - 12logxm -…