2. Express as a single logarithm using laws of logarithms. Evaluate if possible. State restrictions if needed. 1 a. log , 3+ log , 8– log , 2 Jm b. log( Vm)* + log

Q: ,11,,6 The expression log can be written in the form 23 A log(x) + Blog(y) + C log(2) where A = В -…

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Q: Use the Laws of logarithms to rewrite the expression a17y10 log z17 in a form with no logarithm of a…

A: Given that logx17y10z17Solution :logx17y10z17=logx17+logy10-logz17     log ab=loga+logb…

Q: 5. A logarithm is best defined by which of the following words:

A: A logarithm can be defined as the exponent that indicates the power to which a base number is raised…

Q: 6. Determine the value for each of the following logarithms. (Medium) (a) log, (%4) (b) log, (1) (e)…

A: log2164=log22-6=-6log22=-6   and  log31=0

Q: 3. (a) 53  125, so log (b) log5 25  2, so

A: Given:            (a) 53=125(b) log5 25=2 (a)     53=125 By definition:       bc=a⇔logba=c So,…

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: Condense to a single logarithm. 3 - log 8 (m) – 2log 8 (4n) – 31og 8 (5k) 5 log (4n)² (Sk)³ log s…

A: Given problem:- (3/5)log8(m)-2log8(4n)-3log8(5k) To find:- Condense to a single logarithm

Q: 1. Which of the following statements is TRUE? O log, z ee (la a) O log, z = In(et. •) Ina log, z Inz…

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Q: 3 When 16 = 8 is rewritten in logarithmic form, the result is log, b = c. Find the value of a, band…

A:

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. Find the exact value of the following expres: 1) logg 32 – log8 2 2) log 20 + log 50 | 3) log4…

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Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

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Q: Express log; M+4log, Nas a 3 single logarithm. M a) log; b) log, (M'³N*) M c) log; d) log; (MN) O a…

A: To Express in single logarithm

Q: 2 Which of the following is equivalent to log.(m) - logm(20)? F 5 G 80 log(5) log(m) K log.20

A: This can be solved by logarithm properties

Q: Given that log, x = a log, y = b ,and log, z = c which of the following is equal to 2y log2 3b+ a -…

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Q: 50. If log, x= 4 and log, y=5, then evaluate the following. a) log, r'y b) log. ay

A: We can solve the problem by property of logarithm.

Q: Given that log, X = 3, log, Y = -1, and log, Z = 2, %3| evaluate log, X²Y Z

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Solve the equation without using a calculator.

A: Hey, since there are multiple questions posted, we will answer first three question. If you want any…

Q: The Value of x if 5 x 5log æ + 5(2–log æ) 30 is Select one: 1, 5 6. 10 1, 10

A:

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: Suppose log,(r) = 4 and log,(y) Use properties of logarithms to evaluate the following. (a) log, (b)…

A: As we know that the logarithmic properties:…

Q: 12. Evaluate, using the laws of logarithms. log, 256 + log, 4 – log, 7+ log, 224 с. 5 d. 6 а. 3 b. 4…

A: 12. Answer:    c. 5 13. Answer:    b. 17/12 log(x) 14. Answer:    d. x = 16

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

A: We have to expand logarithm

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: 7. Determine the value for each of the following logarithms. Each of these will have non-integer,…

A: PROPERTIES OF LOGRITHMS( i ) logab = 1logba  ;  b>0 ; a>0 and a,b ≠1( ii ) log (mn) = loga(m)…

Q: 5. Determine if the following are true or false. loga logb _a) log = logx – 3 logy d) log %3D 3 _b)…

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Q: Express log b in terms of logarithms of x, y, and z. y'z Choose the correct expression below. А. log…

A: We have to express in terms of logarithms

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

A:

Q: 13 Which of the following is equivalent to x - 3 = 2? A log, (x - 2) = 2 B log, (x + 3) = 2 C log,…

A: The given equation is: x-3=22

Q: Which of the following statements is not correct? A. log10 10 = 1 B. log (2 + 3) = log (2 x…

A: GivenAlog10 10 = 1B.log (2 + 3) = log (2 x 3)C.log10 1 = 0D.log (1 + 2 + 3) = log 1 + log 2 + log 3

Q: 2) Choose the best answer. If log, 2 0.69 and log, 8 = 2.08, then log, 4 = %3D %3D 1.38 O 1.39 0.36…

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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: 2 Which of the following is equivalent to log,(m) logm(20) ? 80 H log(5) log(m) K log.20

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Q: ,15 The expression log can be written in the form z18 A log(x) + Blog(y) + C log(z) where A = В -…

A: Given logx11y15z18We know that log(AB)=log(A)+log(B)and log(AB)=log(A)-log(B)Therefore the…

Q: Given that x, y, z >1 and w be a positive number such that log, w = 24, log, w = 40 and logrvz W =…

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Q: 10.9 The expression log can be written in the form A log() + Blog(y) + C log(z) where A = B = and C…

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Q: 3. If log, 3 = $ and log, 5 = #, rewrite the following expressions in terms of $'s and #'s. a. log,…

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Q: Given that log a 2, logy 3 and log z = 4 find log () %3D %3D O 13 8. 7 O11

A: given: we have to find the value of .

Q: Question c

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

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Q: 3a'b² Va Which of the following is equivalent to In none of the choices 6 log 3ab log a (1+ log, a+2…

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Q: (B) 3log,(x)-4 log,(y) – log, (z)

A: The detailed solution is as follows below:

Q: 5. Which of the following expressions is equivalent to log(3) - 2 log(2x) + 3 log(y) 3y5 4x2 3y6 log…

A: log3-2 log2x+3 logy2

Q: (a) Suppose that 2" = 5" where m,n E No. Prove that m = n = 0. (b) Prove or disprove: log, 5 EQ…

A: Exponential equation

Q: Which is NOT equivalent to logs A. 4 log5 y - log5 3x B. 4 log5 y – log5 3 + log5 x C. 4 log5 y –…

A: We can use properties of log to slove the given problem. We have : log a/b = log a - log b And  logx…

Q: 5. Assume x, y, z, and b are positive and b is greater than 1, write the expression with logarithms…

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Q: A) Given that x= log, 5 and y=log, 2 log, 60 in terms of x and y. , rewrite

A: A) Given that x=log35 and y=log32   To Calculate: log360 in terms of x and y.   Note: As multiple…

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: 9) Evaluate log. Use log x = 2, log y = 6, and log z = 12.

A: