Assume that u > 0 and v > 0. Express log,(u“ v°) as a sum of multiples of log(u) and loga(v). Write a sentence say why it is important that u > 0 and v > 0.

Q: log,5x _ Calculate the value of "x" if 2" = 20. а. 2 b. 3 C. 4 d. 5 е.

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Q: Express log in terms of A, B, C, where log 2 = A. log 3 = B. and log 7 = C. 2A 2B 1 OA+B-1 ОА+2B -1…

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Q: Use y = log, (2) a %3D

A: Given parent function is: y=log3 x We have find the equation corresponding to the given graph of the…

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Let logba=x, where b>0, b≠1, a>0, a≠1 ⇒bx=a

Q: solve for x (use log where is necessary ) 4sqrt(x)=8

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Q: Use common logarithms to solve the equation for x in terms of y.

A: Consider the given function as y=110x+10-x

Q: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

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Q: The value of 34 log, V3 is 68.0 O 136.0 O 17.0 O 0.0 O 34

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Given equation is

Q: Suppose loga 3 5 and log, 7 = 9, find: a) log, 21 b) loga 49 c) loga

A: Given  loga3=5 and loga7=9

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: We have the definition of logarithm as follows: For x>0   and b>0, b not equal to 1 y= logbx…

Q: Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1.…

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Q: Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1.…

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Q: Evaluate the expression without using a calculator.

A: Evaluate the expression without using a calculator. loga1a using the logarithmic property.…

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: To write the given equation in exponential form .

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: According to the property of logarithm, we know that- aloga(x) = x

Q: Given y = log, 16. The value of y=

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

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: The logarithmic functions and exponential functions are inverse of each other. Let then its…

Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: Find the largest value of x that satisfies: log, (a?) – log, (x + 2) = 3

A: log6(x2)-log6(x+2)=3

Q: Condense the expression to the logarithm of a single quantity. (Assume all variables are positive.)…

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Q: Solve for a positive value of x. log,(x) = 2

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Q: Use the defination of the logarithmic function to find x.

A: Part (a): Given, log7149=x

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: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: What is the value of log, 16?

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Q: Use the defination of the logarithmic function to find x.

A: Definition of the logarithmic functions helps to find the values of x. Apply the logarithmic…

Q: Q13: Use log function to solve the equation for t in terms of A and B: A = B e t/2

A: Solution:-  The given function is A=Be-t2      ................(eq01) taking log both of sides

Q: Write the expression as a single logarithm. 1 3 log, x- - log, y+4 log, w Jogn

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Q: Recall the change-of-base formula. log,(x) log,(a) log,(x) =

A: Explanation and solutions is given below....

Q: )Solve for y in terms of r. log, y = log, r – log, 10 + log, 6

A: Given, logby = logbx - logb10 + logb6 Solving the above equation using the properties of logarithm

Q: Write the equation in logarithmic form.Assume that all constants are positive and not equal to…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Logarithm function is defined as, For x>0, a>0, a not equal to 1, if and only if,

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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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: Find the value of y from log, y = - O-3 -/3 -/3

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Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

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Q: Write the expression as a logarithm of a single expressio numbers. log, m- log, n +5 log, k

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: NOTE: Refresh your page if you can't see any equations. . write n to the power both sides

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: To write the expression in the exponential form

Q: Write the following difference as a single logarithm. Assume all variables are positive.  log2 (y^2…

A: Given logarithmic expression,

Q: Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1…

A: Given  A=log 2, B=log 3, and C=log 7 We have to express log 45 in terms of A, B, C.

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression shown.

A: Our Aim is to evaluate the expression given below:-logbxyz-(i)

Q: Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1.…

A: Take ln on both sides. Use product rule and base switch rule to simplify.