Use this information to evaluate the following. Hint: do not try to solve for the value of a.     loga 2 = 0.32    loga 3 = 0.50    loga 5 = 0.73   (a)    loga 15 = (b)    loga (5/3) = (c)     loga(8a7)

Q: Given loga(m) = 10 and loga(n) = 20, find loga(mn2). (Enter an exact number.)

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Q: Evaluate the exponential function for the given x-values. h(x) X = -2 and x = 5

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Q: Approximate the function at the value of x to four decimal places.

A: Given fx=log2x2+1-10-x x=1.95

Q: use the following function to answer the following: y = -log(x + 2)-3 what is the range? when x…

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Q: 1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81

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

Q: Solve the following question, giving the answers as exact logarithms where аppropriate. (a) cosh(t)…

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Is f(x) 0 in the range of the functionf (x) = log(x)? If so, for what value of x? Verify the result.…

A: Given function, fx=logx To check fx=0 in the range of the given function, for what value of x.

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

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Q: Use this information to evaluate the following. Hint: do not try to solve for the value of a. log, 2…

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Q: Solve for f using natural logarithms. 6P = Pe041 Round your answer to three decimal places.

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Q: Evaluate the following without using a calculator (show work!): 6. log1/3 81 7. log36 6

A: 6 Given expression is log1381. We have to evaluate the given expression. Apply log rule,…

Q: To describe cuantitatively the acidity or acalinity of certain substances, it is used the formula:…

A: For vinegar plug [H+] = 6.3x10^-3Then using calculator we find the value.Answer: Ph of vinegar =…

Q: For Exercise, solve for the indicated variable. M = 8.8 + 5.1 log D for D

A: Consider the provided equation,

Q: Complete the table of values. f(x) = log3 x f(x) 9. 1

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Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

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Q: Ise the Laws of Logarithms to expand the expr log2

A: We have to express the given expression

Q: Evaluate the following. (Hint: use the change of base formula). 1 b) loga 1 a) log va a3

A: Use the change of base formula of the lograthim and some other properties also.

Q: In the given question as follows, solve for x.   log3 x = -1 log2 =x - 4

A: We have to solve the equation for x: log3x=-1log2x=-4 We know the property of logarithm,…

Q: Given that p = loga 4 and q = loga 5. Express loga 100 + loga 0.4 in terms of p and q.

A: The given value of p and q are p=loga4  and  q=loga5.

Q: What is the solution to the following equation? log(x - 9) - log(x + 3) = log(x - 8)- log(x+ 2)

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Q: What is the exponential rule that allows you to do the following? et+C=Cet Why were you allowed to…

A: Given.

Q: Give the formula that converts a function of the form bx to an exponential function with base e.

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Q: In the given question as follows, solve for x.   log4 x = -2 log5 x = 3

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Give an expression for an exponential function, f(t), that satisfies f(0)=1 and f(1)=0.5.

A: solution:Since  the given fc=1  , f1=0.5we have to find an expression for an exponential function.

Q: For these false statements, make the necessary changes to one side of the statement to make the…

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Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: Evaluate the following without using a calculator (show work!): 5. log1/3 81 8. log4 64 7. log36 6

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Q: Evaluate the following expression without using a calculator. log s6

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Q: 1. What is the value of x in loga 3 =-? A. 1 В. 3 C. 9 D. 27

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Q: Evaluate the expression without using a calculator. loga 1/a

A: we have to evaluate the expression without using the calculator. loga1a

Q: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4 3. 0.6 + j0.8

A: To find the natural logarithm when z equals 1) -10 2) -3 - j4 3) 0.6 + j0.8

Q: Consider the following equation. log1/5 16*-3 = 14 Find the value of x. Round your answer to the…

A: Topic = Algebra As per guidelines , At  a time only one question can be answered.

Q: Evaluate the following logarithm expressions to verify the change of base rule. la. log:(50) = (use…

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Q: Let f(x) = logb(3x^2 − 2). For what value of b is f'(1) = 3?

A: Explanation of the solution is given below...

Q: For f(z) = 3e6'the value of log(f(z)) is

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Q: Express the function f(x)=g(x)^h(x) in terms of natural logerithmic and natural exponential…

A: Given exponential form is :We need to represent t in terms of natural logerithmic and natural…

Q: Solve the following equation. [Hint: Change log 4x to base 2.] log2 (x+4) - log 4x=2

A: To solve the equation.

Q: 22. Another way of expressing Inx is log x.

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Q: Express the function f(x) = g(x)"(×) in terms of the natural logarithmic and natural exponential…

A: Apply natural logarithm to the expressions on both sides of the given function fx=gxhx.…

Q: For what values of x is the equation  logb x8 = 8 logb x  true?

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Q: 2) Evaluate the following without using a calculator. Show your work. a) loga 8 = b) log: (

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Q: 4. Solve the following natural logarithm for x: In (e?) = x A. 2 В.х C. e* D. In x O A O B

A: We have to find

Q: What is the value of x in log. 3 =- ? А. 1 В. 3 С. 9 D. 27

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Q: For Exercise, simplify the expression without using a calculator. logy51

A: