10. The power gain in decibels of an electronic device is determined by the logarithmic expression 10(log,, P, - log, P.) where P, is the output power in watts and P, is the input power in watts. (a) Condense the expression using the properties of logarithms. (b) Determine the power gain of an amplifier with an output of 27.5 W and an input of 0.673 W.

Q: 13. Combine the following into a logarithm: single 2 log – 3 log y + log(x*y²)

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Q: 4 If log,(x + 1) – log,x = 2, then x equals: F H

A: It is logarithms problem.

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

A: The given expression is ln 0.5 and ln 2 = a and ln 3 = b

Q: The pH scale was designed to make it convenient to express hydrogen ion concentrations that are…

A: Simply substitute the given value in the formula and simplify.

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 7√7

A: We first write the inner expression using an exponent.

Q: a- Simply the following 1 1. Inx – In(x2 – 1) + 2ln(x + 3) - 2. 5log2 + log3 – log8 b- find x for…

A:

Q: 6. Show that the principal branch of the log function can be described by the formula log(z) = S 1/w…

A:

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

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Q: The effect on the graph of y = log,z if it is transformed to y = log,(z+3)? may be described as Oa…

A:

Q: d) log, V5 e) log, () f) log, a

A:

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: 24. It refers to the models used in computations involving very large or very small quantities 25.…

A:

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: Assume that your utility has a natural log function U(W)=ln(W), which is a concave function. Your…

A: Answer:----.               Date:----11/10/2021

Q: 17. log (x² + 3) - log(x + 6)

A:

Q: 3. If 19.4 = log (ab) and 7 = log₂ (a), where > 1, then log, (b) equals H 12.4 26 2.8 135.8 ◄ Prev…

A: We want to find the value of logxb.

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: Match the logarithmic function with its graph. I II y y. 1 + 2 III IV y y 1 1 O| 2 Pl 2 f(x) =…

A: This question is about application of graphs

Q: 36=6^2 logarithmic function that is equivalent

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Q: log, (x – 5) + log,(x + 3) = 1 In(5x) + In x = ln(100)

A: As per guideline we have to solve the one question

Q: 2. Express as a single logarithm using laws of logarithms. Evaluate if possible. State restrictions…

A:

Q: The pH scale was designed to make it convenient to express hydrogen ion concentration: that are…

A:

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: 9.1) How would you compute log(4531.2) using a table with inputs between 1 and 10? Can you explain…

A:

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

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 = a and ln 3 = b.To find ln 27 in terms of a and bFormula:log ab=b log a

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: 4. Show that id 5D accuracy is required to calculate the value of log(1+x) at x=0.1,0.5 by using the…

A: Given equation is log1+x=x-12x2+13x3+.....+-1n+1nxn+Rn+! So, Rn+1=-1n+2n+1xn+1 So, maximum relative…

Q: Based on the data for the year of 1910 to 2007, the expected lifespan of people and country a can be…

A:

Q: A physicist conducts an experiment with a substance of unknown half-life. At the beginning of the…

A:

Q: 5. If log, x = 0.3 and loga Y = 1.24, then the value of log, x²y? = %3D

A:

Q: Express the following logarithms in terms of ln 5 and ln 7. (ln 35 + ln (1/7))/(ln 25)

A: ln(m*n)=ln(m)+ln(n)lnmn=ln(m)-ln(n)ln mn=n ln m

Q: 4. The expression log(sinx) – log(cos.x) , 0<x<, is equal to A. log(sin x cos x)

A:

Q: 26. Describe the behavior of each of the following: (a) 5 (b) log x as x>0 as x (c) ln x as x ->co…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: What type of function is show y 1. 2 8. 3. O Quadratic function O Logarithmic function O Linear…

A:

Q: The pH scale was designed to make it convenient to express hydrogen ion concentrations that are…

A:

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: 1) log,, X If 10 2 what is the value of x? 1-log, 2

A:

Q: Suppose log, (x) = 2 and log, (y) = 5. Find the following: d) log.(V) e) log, (x + 2y) f) log,(y")

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Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

A:

Q: 13. Combine the following into a single logarithm Inz- 3 In (z + 4) + In (y)) 112

A: Follow the steps.

Q: 16 Rewrite the exponential equation into its corresponding logarithmic equation. 12 = 144 F log,,…

A: Answer is mentioned below

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

A:

Q: rewrite each expression as a singlelogarithm.

A: 35). Given expression is 3log2x+log2y To rewrite the expression as a single logarithm. Solution:…

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y - 3 log, x 6.…

A: According to our company's guidelines I can only answer first three subparts of the question B since…

Q: 7. logaM^r = __________. 8. If logax= loga6, then x = __________. 9. logaMN= __________. 10. True…

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Q: The function that grows at a rate equal to its value is 1) exponential function with base e 2)…

A:

Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

A:

Q: 10. Create the equation of a logarithmic function that has been transformed from the base…

A: Given : y = log5 x

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)