4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

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

A: Given,

Q: Find a formula for the exponential function passing through the points (-2,5) and (1, 15). y =

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

Q: Use the Laws of Logarithms to expand the expression. log (VxV¥ xV y°Vz5

A:

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

A:

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: Use the properties of logarithms to expand the given expression as much as possible

A: Use division property of logarithm

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

Q: Use the properties of logarithms to expand the quantity:  log2(x10y/z5)

A:

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: What is the solution of 4 + 3 log(2x) = 16 ?

A: #  Given equation is          4+3log 2x=16

Q: If log3 (x + 2) = 2, the value of 'x' is..... %3D

A: If logam=n then m=an

Q: Choose the exponential form of the logarithmic equation log3 (7x + 6) = 3. %3| O 33 = (7x + 6)° O…

A: Option c is correct.

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: Find the value of y:  logy32=5

A: Given, expression

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: The solution to log3(2x − 1) = 4 is: STEPS PLEASE

A: Properties of Logarithm: Given function is: Rewriting given function:

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

A:

Q: In the given question as follows, solve for x.   log3 x = -1 log2 =x - 4

A: We have to solve the equation for x: log3x=-1log2x=-4 We know the property of logarithm,…

Q: 3 log25 x = 2

A: It is logarithms problem.

Q: Find a formula for the exponential function passing through the points (-1, 1/2) and (2, 32).y =

A: Let the function is y=a(bx) Given, it passes through (-1, 1/2) and (2, 32).

Q: Express the quantity as a single logarithm.   In 3 + 1/3  In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

Q: In the given question as follows, solve for x.   log4 x = -2 log5 x = 3

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

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

A: Given: log2xlog3x we know that logmn=lognlogm

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: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: 8. Without solving the equation, state the restrictions on the variable x in the following: log(2x -…

A: .

Q: If log2(3x +7) = 4 then x = ?

A: Given problem is :

Q: Select the solution(s) of log x = 2 - log(5æ + 5).

A:

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

A:

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

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: If log2(4x+5)=1, then x=

A: To find the value of x we need to apply basics in logarithmic relation. We have the formula,…

Q: Express as a single logarithm with a coefficient of 1: 1/2 logb x - logb(x2 + 1).

A: logmt-logms=logmtsa logmn=logmna

Q: a and In 3 = b. Use properties of logarith 31. In 1.5 %3D In

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Use properties of logarithms to expand as much as possible.  log√[(x5)/(y3z)]

A: Given, logx5y3z We will solve it by using the properties of the logarithm

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

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

Q: Write the following logarithmic equation in index form and hence solve for x logx(4x-4)=2

A:

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

A: logax2yz3

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 1225

A: Given, ln(1225) Express this in terms of ln(5) and ln(7)

Q: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

Q: Express the quantity as a single logarithm.   In 5 + 5  In 3

A:

Q: solve the following equation. log2(5Vx – 5) + log2(Vx – 1) = 3

A: Given that:   log2(5x-5)+log2(x-1)=3

Q: If log (x + 7) – log, (7x) = 4 then enter your answer for æ as a fraction in its lowest form

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

Q: Solve for æ: log(x) + log(r + 1) = ||

A: We have to find the value of x from given equation.

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: Write as a single logarithm: 1 In(x - 1) + 2 In(3r + 1) + In (r? + 9) - 2 ln 3- In z 2 3 In 2 -

A:

Q: Expand the logarithimic expression.

A: lnx4+123x+16x-3

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)