Given that log, (3) z 0.56 and log,(5) z 0.83, evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the the logarithms of 3 and 5. a) loga(15) z 1.39 b) log, (V5) a 0.415 c) log, (0.6) z -0.27 d) log, (75) = e) log, (27) = ) loga (1.8) -

Q: Given that log, (3) z 0.56 and log,(5) z 0.83, evaluate each of the following. Hint: use the…

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Q: In the given question , use the properties of logarithms to expand the logarithmic expression.   (f)…

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Q: Express the following as the logarithm of a single quantity. log 74 + log 716 Choose the correct…

A: The given logarthim expression,   log745+log716

Q: If a, b > 0, find the number a that satisfies (ax)loga = (br)logb, where log is the logarithm of any…

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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: a. log AB В b. loga A 2.3 c. logA´B°C

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Q: The product property of logarithms states that log,(xy) = numbers b, x, and y, where b 1. for…

A: The product property  of logarithms states that logb(xy) = logbx+logby   for the positive real…

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: If log, 3 = 0.7925, log, 5 = 1.161, and log, 7 = 1.4037, then the value of log, V21 is O 2.2767 O…

A: Given: logb3=0.7925 logb5=5.161 logb7=1.4037

Q: 18. Use common logarithms to approximate log, 207 to four decimal places. O A. 0.4120 B. 3.2702 C.…

A: Topic-logarithms

Q: Evaluate the following. 1 a) log√3 b) log² √b

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Q: Express as a single logarithm and if possible simplify

A: We have given the expression

Q: Find exact values for each of the following quantities without using a calculator by applying…

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Q: In the given question , use the properties of logarithms to expand the logarithmic expression.…

A: According to the logarithmic product rule log pq=log p+log q. Use the product rule of logarithm to…

Q: Suppose that, for a certain real number b > 0, log,(3) = 2.53 and log,(5) = 4.21 Find log,(45) 1…

A: Given:  logb3=2.53   and logb5=4.211) logb45=logb9×5we know that log(ab)=loga +logbThen…

Q: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4

A: The general form of a complex number is given by z=a+jb, where a and b are real numbers and j=-1.…

Q: 1) Condense the following logarithr 4log3x + log,v 2) Expand the following logarithm log.()

A: We have to expand logarithm

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

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Q: Which of the following logarithms is CORRECT? i. log10(1) = 0 ii. log3(3) = 0 i. log2((8)(16)) =7…

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Q: Use log, 2 0.335, log, 3 0.542, and log, 5 = 0.778 to approximate the value of the given logarithm…

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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: Use the properties of logarithms, given that In(2) z 0.6931 and In(3) = 1.0986, to approximate the…

A: We need to evaluate the problems using logarthimic formulaes.

Q: 5. Evaluate the following using a method of your choice. a. log,729 = b. log 7776– log,36

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Q: 2. Use the properties of logarithms to rewrite each expression as a single logarithm. a. log x +2…

A: given,        a.    logx+2logy-logzb.    12logx-2logy-3logz

Q: Determine the numerical value of the following expression without the use of a calculator: T + log,…

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Q: 4 Given that log m3 ~ 0.945, log m4≈ 1.192, and log m7≈ 1.674, find log mm log m (Type an integer or…

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Q: 5) Show the proof that loga M" = r· loga M

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Q: Use log, 3 s 0.613 and log, 9 s 1.226 to evaluate log, 27 1.839 1.387 -0.613 0.752

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Q: log2 28

A: We have to express the logarithm in logarithm with base 10 and solve

Q: 4. Find all the values of z for which each equation holds. (a) Log(z - 1) = -i.

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Q: 10. Given that ļlog, 2= 0.301, log, 7=0.845, and loga 11 = 1.041, find the following, if possible.…

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Q: Use the Laws of Logarithms to expand the given expression. (a) log(xy) )13 13·log (x) + 13 log(y) x'…

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Q: 3 [og,x + logy] – 2[log,a + log, V5]

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Q: Given that log z =2, log y = 3 and log z = 4 find log () %3D O 13 O 9 8. O 7 O 11

A: We are asked to find the log

Q: Which of the following logarithmic expressions have been evaluated correctly, to the nearest…

A: Properties of logariths:-1. log(a)b=b log (a)2. log(a,b)=log (a)+log (b)3. logb(a)=log (a)log (b)

Q: given that log109=0.95 and log102= 0.30 to two decimals places evaluate the following log10900

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

A: To simplify12ln(4t4)-ln2

Q: If log, 3 = 0.5283, log, 5 = 0.774, and log, 7= 0.9358, then the value of log, V21 is O 0.1057…

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Q: Use log, 2 0.327, log, 30.542, and log, 5 0.835 to approximate the value of the given logarithm to 3…

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

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Q: Use the logarithm rules to expand the logarithmic expression as a sum, difference, and/or constant…

A: Use the Lograthmic rules to expand the Lograthmic expression as a sum , difference and /or constant…

Q: Use log,4 s 0.712 and log,5 s 0.827 to evaluate log, 25. 1.54 0.827 0.589 1.654

A: Find the value of log 25 base 7

Q: Suppose that In 4 =s and In 3=t. Use properties of logarithms to write the logarithm in terms of s…

A: Please see the next step for answer.

Q: Given that: toge C4-1)+ Log4 )=Z and Log, Cyt1)+LogE2= Show that 42-1+8² and find the Pessible…

A: We are given: log4y-1+log4x2=Z⇒log4(y-1)x2=Z⇒4Z=(y-1)x2Now,Z=1⇒(y-1)x2=4⇒(y-1)(x)=8 ---(1)Also we…

Q: Use log, 3 z 0.5869 and log, 5 z 0.8598 to find an approximate value for V5 logb 9

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Q: Suppose that In 3= a and In 7= b. Use properties of logarithms to write the logarithm in terms of a…

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Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: 4. The expression loga is equivalent to 5 O 3log.y +log, -log,5 O 3logay +2logax – loga5 | Olog (3y)…

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Q: a1- Given the values of x presented in the following table: x 654 658 659 661 If fx) is togu of ()…

A: Given xi 654 658 659 661 According to question given thatf(xi)=log10(xi)Now substitute all of…