Use the Laws of Logarithms to expand each expression. (a) log,(6x) (b) log,(r'y") ab (c) In

Q: The Inverse Properties of logarithms state that logaax = x and ________.

A: The logarithmic function is a function of one variable associated with a specified base, such that…

Q: Use the properties of logarithms to expand the logarithmic expression. ln(x√x2 + 5)

A:

Q: If log,3 =z, then log,81 expressed in terms of æ is

A:

Q: Use the Laws of Logarithms to expand the expression. log(×-) (x7y2'

A: Property of logarithms: 1. logmn = log(m) - log(n)2.  logmn = log(m) + log(n)3. logmn  = n log(m)

Q: Use the properties of logarithms to write the expressions in as a single term. ln sec θ + ln cos θ

A: Given                 ln secθ + ln cosθ  So,    as           ln x + ln y =ln xy

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

A: Given that, ln 2 = a and ln 3 = b.

Q: Use common logarithms to solve for x in terms of y

A: Consider the given function as

Q: Express the ratios in as ratios of natural logarithmsand simplify. logx a/logx2 a

A:

Q: Use the Laws of Logarithms to expand the expression. log, (xy):0

A:

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

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

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

A: Given that, ln 2 = a and ln 3 = b Then, we have to write In 8 in terms of "a" and "b". Since the…

Q: Use the properties of logarithms to write the expression as a single logarithm. In(x) – In(y)

A:

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: Write log, x + log, y as a single logarithm with coefficient 1.

A:

Q: Use the properties of logarithms to expand the logarithmic expression.

A: Given : xlnx−4

Q: Using properties of logarithms, we can rewrite the equation as In(y) - In(x7 cos(x)), which is…

A: Consider the equation  ln(y)=ln(x7cos(x))

Q: Express as sums or differences of logarithms. log yz *(Show your usage of the log properties.)

A: We have to the express given logarithm eqution

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

A: Given-  ln27 To Use- Properties of logarithms to write each logarithm in terms of a and b, by…

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

A: Given expression lnx4+2 lnx4+2=lnx4+212 Use the power rule of logarithm, logcAb=blogcA…

Q: Expand the logarithmic equation. log(10,000x)

A: Given expression

Q: Use the properties of logarithms to expand the logarithmic expression.          ln xy/z

A:

Q: 2. a) Express log, 3 in terms of a logarithm to base 3.

A: We have to express

Q: 1 3 log, (x²) + log, vx

A:

Q: Use the Lavs of Logarithms to expand the expression. log;(xV)

A:

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

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: Write as a single logarithm. Express coefficients as powers inside the logarithm. 6 In(x) + 3 ln(y)…

A: Here we need to write the given expression  6ln(x)+3ln(y)-7ln(z)-5ln(w) as single expression.

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: Use the Laws of Logarithms to combine the expression. 4 log(x) -- log(x2 + 1) + 4 log(x – 1)

A:

Q: Use the laws of logarithms to expand and simplify the expression. In Vx (1+x)5,

A: We have to express the expression

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

A: log32xy

Q: Use the Laws of Logarithms to expand the expression. log z2

A:

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

A:

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

A: Given: ln 2=a……1ln 3=b……2   To find: ln 0.5   ……3

Q: Use the laws of logarithms to expand each expression. (a) log10(x*y³z) 4 log (x) + 3 log(y) + log(-)…

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: logan=nloga   logab=loga-logb

Q: log, (x + 1) = -1

A:

Q: Use the Laws of Logarithms to expand log2 7t². in

A: To expand using laws of logarithms

Q: Use the properties of logarithms to expand the logarithmic expression. ln(3e2)

A: The given expression is ln3e2.

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

A: logax2yz3

Q: According to the properties of logarithms In sec x= - In cos x O True O False

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

Q: Use the properties of logarithms to expand the logarithmic expression.      ln(xyz)

A: Given: ln xyz To expand: The given logarithmic function.

Q: The logarithmic equationb log, 3 = c, where a > 1, expressed in exponential form could be

A: Consider the logarithmic equation  bloga3=c              , a>1

Q: Use the properties of logarithms to write the expressions in as a single term. ln (8x + 4) - 2 ln c

A: Logarithm: We know  ln m- ln n=ln mnln mn=n ln m

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

A: Given : log7xy2

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Use property of log

Q: Use common logarithms to solve for x in terms of y

A: Given equation is: y=10x-10-x10x+10-x We have to solve for x in terms of y using common logarithm.

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

A: The given expression is