Question 1 Evalunte The following using logarit A7.6X0-792 O-0458 O (6.327) X |:23. 4.16X0:0845

Q: Solve the following equation: log7(3x) = log7 3 + log7(6x – 1). X =

A: Answer and explanation is given below

Q: A person places $1690 in an investment account earning an annual rate of 7.2%, compounded…

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Q: Express the equation in logarithmic form: (a) e" = 3 is equivalent to In A = B. Then %3D and

A: (a) Given expression. ex=3

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: We have to write in terms of a and b by using properties of logarithm for the given logarithm…

Q: The graph of the logarithmic function y = log, x can be described as

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Q: If the graph of a logarithmic function f(x) = loga x, wherea > 0 and a ≠ 1, is increasing, then…

A: Since in logarithmic function value should be positive. Therefore, in fx=logax the value of x must…

Q: solve the following logarthemic equation. log4(x+74) + log4(x+11)=3

A: Given,         log4x+74+log4x+11=3

Q: In the given question as follows,, write the expression as a logarithm of a single quantity:-   4 ln…

A: Here given expression  4 ln 2-12lnx3+6x

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given,ln2=a,ln3=b ln(1.5) On simplifying further we get: ln(1.5)=ln(32)=ln3-ln2…

Q: log3(x) dx

A: Given integral is ∫ 3x2+log3xdx. Consider u= 3x2.

Q: What value of x will make the following equation true? log (2x+6) =1 -5 O x = 2. O x= 8

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Q: Express the following equation in logarithmic form. 10 2= = 0.01 %3D - 2 The exponential equation 10…

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Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

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Q: Question 8 Solve the equation log2(x + 3) = log2(6 – x) + 3

A: Solve the equation log2x+3=log26-x+3 . Subtract log26-x from both sides .…

Q: 1 3 log, (x²) + log, vx

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Q: 3(1 + 108x) = 8 %3D (a) Find the exact solution of the exponential equation in terms of logarithms.…

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Q: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13

Q: > Question 22 if y = log3 x find y' xina 01 2/xina

A: To differentiate..

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given : ln 2 = aln 3 = b

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: We have been given that ln 2 = a and ln 3 = b.

Q: Question 2 solve the equation : 1 -log4 x+3 log4x = 2log4Vx – 1 -

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Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: Condense the into a following (b) Single logarithm. 2 In (x+1) +3 InCy)-Ź Incx)

A: Condensing the expression to a single logarithmic value

Q: express the following as a single logarithm ln x+ a ln y - b ln z

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Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: It is given that ln 2 = a and ln 3 = b

Q: QUESTION 13 Solve for x in the logarithmic equation log 4x+ 2) - log s(x- 1) = 1 O (2.00) O (2.05) O…

A: As per our guidelines , we can help you in solving only one problem. Rest of the problems, you have…

Q: 142. y = log10 2x

A: It is given that,       y=log10(2x) We have to differentiate it :

Q: The solution of the logarithmic equation log 2 + log (x + 5) = log 36 is

A: We have to find the solution

Q: QUESTION 3 Convert to a logarithmic equation. %D In t = 5 logge = t In (5) = t loggt = e %3D

A: Topic- simplification

Q: Question 11 of 15, Step 1 of 1 Correct Evaluate the following logarithmic expression without the use…

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Q: Question 12 Evaluate each of the following expressions using a method of your choice. b. logga 27a³…

A: Formula used: 1) Power rule: logbxn=nlogbx 2) Change of base rule: logba=logalogb 3) Quotient rule:…

Q: Question 1: Write the following Logarithmic expressions as a sum of logarithms expressing all powers…

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Q: Question 4 Solve Log 0X=3 oX =30 o X=1,000 0X=10,000 X3

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Q: QUESTION 16 Find the domain of f(x)=log(x – 7)-

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Q: Solve the following logarithmic equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

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Q: Question 28 dx Evaluate: Tx (x+1)log(x+1) 1 A -log² (x+1)+C 2 1 ® --In 10 log² (x + 1) + C B 2 (C)…

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Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given,ln2=a,ln3=b. To evaluate:ln(23). Solution: ln(23) On simplifying further we get:…

Q: Example 52. x log x dx.

A: Evaluate:∫x log x dx

Q: (b) Show that 1 1+ 2 tanh- (2) = ; log

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Q: What is the natural logarithm of e to the xy power

A: To find what is the natural logarithm of e to the xy power?

Q: QUESTION 3 log432 +210925 =?

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Q: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: Question 27 > Solve for x: log(x) + log(x + 4) = 9 x = You may enter the exact value or round to 4…

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Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Question 17 of Use the properties of logarithms to expand the following expression as much as…

A: If you like the solution then please give it a thumbs up.. The Answer is:         Result :        2…

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)

Q: If log1,5 + log10 (5x + 1) = log10 (x+5)+1, then x is equal to :

A: Given data is : log105+log105x+1=log10x+5+1 To find the value of x . Use the property of logarithm :…