og3 (a) = b, then log, (a) is: a) b) a c) b

Q: Provide an interpretation for how labor hours is related to wage in the following: labor hours =…

A: given  labor hours = -0.90+0.543 log ( wage) Here labor hours : dependent variable Wage :…

Q: . In the definition of the logarithmic function, the base a is notallowed to equal 1. Why?

A: In the definition of the logarithmic function, the base a is not   allowed to equal 1. Why?

Q: Use the properties of logarithms to rewrite the expressions in terms of r, s, and t, where r = In a,…

A:

Q: if Log(z) is the principle value of the complex logarithmic function, what is the imaginary part…

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Q: Assume that x, y, and a are positive numbers. Use the properties of logarithim to write the…

A: Assume that x, y, and a are positive numbers. By using the properties of logarithim to write the…

Q: Express the ratios in Exercise as ratios of natural logarithms and simplify.

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

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Q: Let u = In a and v = In b. Write the expression in terms of u and v without using the logarithm…

A:

Q: If log,b = x³ and log,(÷), determine the value of x by showing all steps in using the appropriate…

A: logab=x3b=ax3

Q: The logarithmic function base 10 is called the logarithmic function, and the logarithmic logarithmic…

A: The logarithmic function base 10 is called the ___________ logarithmic functionThe logarithmic base…

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: log, b* =

A: logbbx=____

Q: Which of the following are equivalent to log, (2)? Choose all that apply. O- log, () 1 Olog, (8) O…

A: Let's simplify each expression one by one.

Q: Solve for x.

A: (a)log3x=-1(b)log2x=-4

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

A: Please refer the attached image for complete solution. THANK YOU !

Q: Log with a base "e" (loge) is the same thing as...

A: Given : loge

Q: Jse log, 8 s 1.069 and log,5 s 0.827 to evaluate log, 1.292 O 0.242 0.565 O 0.774

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Q: Use log, 4 ~ 0.712 and log 12 ~1.277 to evaluate log, 48. log 48 =

A: Finding the value of log748 using the given conditions

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

A:

Q: Evaluate the following expressions 5. log, 3

A: Evaluate the given expression.

Q: Let log, A = 3.113 and log, B = 0.116. Find log, AB. O 26.836 O 3.229 O 0.361 O 2.997

A:

Q: Complete the formulas: log, (MN) = r log, x= log, x-log, y = Definition of log: y=c° > Change of…

A: The product rule of logarithms states that logaAB=logaA+logaB. Therefore, logbMN=logaM+logbN. a) The…

Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

Q: Evaluate log, m² a. n 2 b. n² C. d. mn 2n

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Q: Explain why there is "natural log" or written as ln?

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Q: The change-of-base formula states that log, x can be written as a ratio of logarithms with base a as…

A: We have to change the base of the given logarithm  we have,  logbx

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

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Q: Which of the following is equivalent to the expression log

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Q: here are 4 statements below, how many of them are correct? In(a2- ab) • log,(a²– ab)= Ina log(a?-…

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Q: If VA= B, then log a B =. --

A:

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

A:

Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Use the change of base formula to express log, 2 using In, the natural logarithm.

A:

Q: Ismael made an error when he was evaluating log, 27 – log, 9. Ismael's work log; 27 – log3 9 log, 27…

A: note: As per our company guideline we are supposed to answer only one question. Kindly repost other…

Q: Apply the change of base formula to approximate ead value to four decimal places. a. log, 8 12.4 =…

A: Note: logcblogca=logab. For (a),     log0.812.4=log1012.4log100.8=-11.28285 For (b),…

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

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Q: Let log, A = 3.420 and log, B = 0.357. Find log, AB.

A: The formula of logarithm is: logaxy=logax+logay According to the question, logb AB=logbA+logbB…

Q: Evaluate each logarithm using properties of logarithms and the following facts. log,(x) = 3.4…

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Q: Use the Law of Logarithms to combine the expression: 3(log, (x)+3 log,(y)– 4 log,(z))

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Q: 5. State the numeric value of the following -5 log, x log, (r-x) log,

A:

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: Evaluate the following expressions. (a) log; 5º = (b) log, 64 = (c) log, 1296 = (d) log, 8²

A:

Q: Let u = In a and v = In b. Write the expression in terms of u and v without using the logarithm…

A: To write the expression in terms of u and v without using logarithmic function.

Q: Show that if log, a=c and log_ b = c, then log, y =c².

A: Using the properties of the logarithmic functions, it an be written that logbc=log clog b.  Using…

Q: Evaluate each logarithm by using properties of logarithms and the following facts. log (x) : = 3.1…

A:

Q: Convert the expression to the log, x using base 10

A: Given that: log5x using base 10.

Q: Express the ratios in as ratios of natural logarithmsand simplify. loga b/logb a

A: Given: The expression logablogba To simplify: The given logarithmic expression after converting it…