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

Q: What is the base of the following logarithmic function: h(x) = In(x) 2 T 10

A:

Q: Express the quantity as a single logarithm. In 2 +In 27

A: Given,

Q: . In the definition of the logarithmic function, the base a is notallowed to equal 1. Why?

A: In the definition of the logarithmic function, the base a is not   allowed to equal 1. Why?

Q: Evaluate the following logarithm. 1 In e5 II

A:

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log8 x

A: Given expression is By using base change formula, we have Therefore,

Q: Evaluate value of the following log9 x log3 x

A:

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: Express the following sum and/or difference of logarithms logs y- 2 log, z log

A:

Q: 9. In the definition of the logarithmic function log, x, what are the allowable values for the base…

A: logbx

Q: What is the zero o of the funcHon Y= loge (x+G)-I?

A: Given: The function, y=logxx+6-1.

Q: The base of log x is base e true or false?

A:

Q: What values could replace the "?" in these equations to make them true? 1. log10 10, 000 =? 2. log1,…

A:

Q: 20) Find the exact value of the logarithm without using a calculator. log,64 =

A: The given expression is log464

Q: In the given question , use the properties of logarithms to expand the logarithmic expression.   ln…

A: Given expression is  ln (x y z)

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: 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: 1 What is the value of loge 36 ?

A: we can write by property of                           log6(1/36)= -log6(36)

Q: how is  (a^loga(y))^c the same as y^c? (image)

A: Given that a statement  ac.loga(y)=alogayc=yc Prove the given statement.   The formula used are the…

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A:

Q: 7 In Ve

A:

Q: Use the properties of logarithms to expand log (zy).

A: Properties of Logarithms :i) log(ab) = log(a) + log(b)ii) log(ab) = b log(a)

Q: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4?

A: Given: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4? To Find: To check the…

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

A: The general form of a complex number is given by z=a+jb, where a and b are real numbers and j=-1.…

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log3 x

A: Given: log2xlog3x we know that logmn=lognlogm

Q: If loga = x and logb-y, then log Vab is equivalent to %3D %3D

A: To find equivalent relation, we will apply basic logarithmic formulas to the given expression.

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A: Given:- g(x)=logb(x)  Evaluate g(x) at x=√b

Q: Express the following as a sum, difference, or multiple of logarithms. log 2 a

A:

Q: Describe the following property using words: logb bx = x.

A: we have to decribe the following property in the words:  logbbx=x

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

A:

Q: The change-of-base formula states that log, x can be written as a ratio of logarithms with base a as…

A: We have to change the base of the given logarithm  we have,  logbx

Q: Evaluate the Pntegral loo Log (lo0n)dy

A: Given: ∫01100log10100xdx

Q: log2 28

A: We have to express the logarithm in logarithm with base 10 and solve

Q: If we multiply the data values by a constant (say, c), how this will affect the geometric mean? Use…

A: Geometric mean is given by

Q: = log z in the regio

A:

Q: Express the quantity as a single logarithm.

A:

Q: Use the Laws of Logarithms to expand the quantity.

A: Use the Laws of Logarithms to expand the quantity.

Q: 3 [og,x + logy] – 2[log,a + log, V5]

A:

Q: Use the Laws of Logarithms to expand the expression.

A: logax2yz3

Q: What is the value of (log 5 to the base 2) + (log 5 to the base 3)?

A: the value of (log 5 to the base 2) + (log 5 to the base 3) is

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: c) In(4t*) –…

A: To simplify12ln(4t4)-ln2

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: Calculate the given natural logarithm without using your calculator ln(1)

A: 1 can be written as e^0

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

Q: Use the Laws of Logarithms to expand the expression. log, (xy)?

A: Given : log7xy2

Q: Use the Laws of Logarithms to expand the quantity.

A: Given, We know that, lna·b·c=lna+lnb+lnclnam=mlna

Q: Use the properties of logarithms to express the following as sum and difference. In

A: The given expression is

Q: GM = Antilog log X; i=1

A: If we multiply c times to each terms, then GM will not be not change Geometric mean is given by…

Q: Express the ratios in as ratios of natural logarithmsand simplify. log9 x/log3 x

A: Consider the provided expression, log9xlog3x Simplify the provided function. Apply the logarithm…