Simplify by writing as a single logarithm: Show all steps clearly including use of 'logʻ rules. log(2x² + 7x + 6) – log(x² – 4)

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

A: According to guidline, 1st are solved

Q: Use the Laws of Logarithms to expand the expression. log7(xvy)

A:

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: Write as the natural log of a single expression: 5 ln(x1/2) + ln(9x)

A:

Q: Use properties of logarithms to expand the logarithmic expressi +2 In (x+2) X VX+2 In %3D (x+2)3

A: using property of logarithmic

Q: If log,b = x³ and log,(÷), determine the value of x by showing all steps in using the appropriate…

A: logab=x3b=ax3

Q: Without using a calculator, find the exact value of log, 81 – log, 1 log,v 8 – log 0.001

A: To find the exact value of log381-logπ1log228-log0.001. Solution: Properties of logarithm are: 1.…

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

Q: Write as a single logarithm: In(x – 1) +2 ln(3x + 1) + In (x² + 9) – 2 ln 3 – In æ 2 3 In 2 – - |

A:

Q: Use the Laws of Logarithms to combine the expression. 3 In(2) + 5 In(x) - - In(x + 7)

A:

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

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

A: Given : xlnx−4

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

Q: asb b? =In 2. %3D (3

A:

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

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: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

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 exact value of the logarithm without using a calculator. log , 4 log | (Type an integer or…

A:

Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log16 x…

A: Given logarithmic equation is: log16 x + log4 x + log2 x = 7 We have to solve for x.

Q: ( 3vx log9 x²+9,

A: The expression is  log9 3xx2+9

Q: Expand the following logarithm into the sum/difference of multiple logarithms in their simplest…

A:

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log9 x…

A: Use the log property to simplify the left side of the equation log9 x+3 log3 x=14. Use property…

Q: (log x- log by) + 5 logv

A:

Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: Use logarithmic properties to write in simpler form. In xy In xy =

A:

Q: Fill in each blank so that the resulting statement is true.

A: we know that logamn=logam-logan so, we can say that the quotient rule for logarithms states that…

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 Quotient Rule of Logarithms to write an expanded expression equivalent to ln(6x−5x+4). Make…

A:

Q: Without using log.[log 3(log, 8)]. a calculator, find the exact value of

A: Without using a calculator, find the exact value of log4log3log2 8

Q: Determine the X and y nter zevos of the logari thmicc toncfion 4= logo (10x +)-4

A: Consider the given function as y=log310x+1-4

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

A: log32xy

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

Q: Use the power rule to expand the logarithmic expression: log (4x)5.

A:

Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

A:

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: We have to Answer only Question (2) as stated. We know that,

Q: Use the properties of natural logarithms to simplify the funct f(x) = In(17x) – In(17) %3D f(x) =…

A: Given f(x)=ln(17x)-ln(17)We know that ln(AB)=ln(A)+ln(B)So, f(x)=ln(17)+ln(x)-ln(17)

Q: log, (1- x) = 4

A:

Q: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

A:

Q: Find the exact value of the logarithmic expression. log7343

A: Given : log7343

Q: Write the following equation in exponntial form Please show work log27=x

A: Write the following equation in exponntial form Please show work log27=x

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 logarithmic properties to write in simpler form. X In y In X

A:

Q: Use the properties of logarithms to write the expressions in as a single term.

A: Given: ln sin θ - ln sin θ5 To write: Using the logarithmic properties to write the given…

Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.

Q: solve, g(x)=-3(1/5)x + 2 where g(x)= 0(using log may be) leave it in exact form not decimal.

A: Given that g(x)=0 So we will plug g(x)=0 and solve for x