Log=5x-L09(2xte) + Loa Gx-5)=4

Q: Show that loga 12x + 2x - 12 + loga 12x - 2x - 12 = 0.

A: given :                      loga (12x+2x-12) + loga(12x-2x-12) = 0 The product rule for logarithms…

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4years?

A: Given principal(p)=$4000Interest rate(r)=3%=0.03time(t)=4 yearssince the amount is compounded…

Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: Assume you invest $10,000 in a mutual fund (e.g. money market fund) at an APR of 7% compounded…

A:

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: Express ln( 6x^4 ) − ln( 3x ) as a single logarithm and simplify as much as possible.

A: Explanation of the solution is given below..

Q: Solve for x: log(5x + 45) – logx = 1

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

Q: How can I rewrite this expression as a single logarithm?

A: In this question we will use some basic log rule such as, logba+logbc=logbac logba-logbc=logbac…

Q: Expand into several logarithms: x² y? In z5

A: We need to expand the given logarithms into several logarithms lnx2y3z5

Q: To get $800 after 212years at 8% compounded continuously

A: $800 after 212 years at 8% compounded continuously.

Q: Solve for 2x- 1 bl log4 (10-2)-0

A: (a) e2x-1 = 7 Taking log on both sides Ln (e2x-1) = Ln 7 (2x - 1) Ln (e ) = Ln 7.        { Ln ab = b…

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: Express sinh-1 x in terms of logarithms.

A: Let  y=sinh-1x⇒x=sinhy

Q: See photo attached, thank you.

A:

Q: =xpress the number sinh in terms of natural logarithms- 84 -

A: Given: sinh-1-1384

Q: Express in terms of logarithms without exponents. logb(x3y9z) What is the equivalent expression?…

A:

Q: Solve for x sin(log2 (13x² +16x34) = y

A:

Q: . Solve for x: log2 (x) – log2(x + 2) = 3 – log2(x – 1) -

A: Given,log2(x) - log2(x+2)=3-log2(x-1)⇒log2(x)+log2(x-1)-log2(x+2) = 3⇒log2(x(x-1))-log2(x+2)=3…

Q: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

Q: Solve log x=2

A:

Q: Solve for the exact value of x. log2 (7x) – 2 log, (9) = 2 -

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Q: log4(x)-2logx(4)=1

A: log4x-2logx4=1

Q: solve 5^x+5 = 9^x  using logarithmic function round to 3 decimal places

A: 5x + 5 = 9x taking log both side:-

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is logax3wy2z4

Q: Express the solution in terms of logarithmics

A: Here given Taking ln both side we get

Q: If logx^½64 = 3. Find the value of x

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Q: Jose invests $10,000 at 10% interest that is compounded continuously. Which is the value after 10…

A: We have to find compound amount

Q: Estimate using the change of base formula.

A: We have to estimate the logarithmic expression using base change formula: log612 We know base change…

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

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Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: Differentiate logx 2

A: We have to find the derivative

Q: Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2

A: Solution of question is written in below steps.

Q: Solve for using the definition of logarithm: (logx+29)- 2=0

A:

Q: Solve for x. log2(2x2 + 4) = 5

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

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

A: Given that,   Invest value (P) =$4000   Interest rate(r) = 3%   Time (t) =4 years

Q: solve for x log4(3x-2)=2

A: Given logarithm equation is shown below.

Q: Solve exactly. 1 log64( – 5x + 3) – log64( – 7x + 1) - - 3 0 = || ||

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Q: $2000 is invested in an account that pays interest compound continuously, how long will it take to…

A: The answer is given below:

Q: Solve for x: log x + log(x + 5) = 6

A: Consider the given equation logx+logx+5=6

Q: Solve for x. log2(x) = 6   x=

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Q: Solve: log10x + log(x + 9) = 1

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Q: Solve for x sin (log2 (13x2 + 16x - 34) = y

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Q: Solve for x. log4 (– 2x+4)=2

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Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

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Q: You invest 10,000  and pay 3% interest compound continuously . How will you have in 5 years?

A: Given that You invest 10,000 and pay 3% interest compound continuously .  Now we have to find amount…

Q: Estimate using the change of base formula.

A: Consider the logarithmic expression log90.2 to evaluate the value of this, use the change of base…

Q: solve for x log x=-3

A: