11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: 2 Find x so that log10 x = log, 10

A:

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: x] is a O log 2

A:

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

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

Q: - Express as a single log. 3 log4 x + 2 log4. log4 y - Show your work

A:

Q: condense the following expression into a single logartithm whose base is 4.  3log4X-log2Y+2

A: It is a logarithmic problem

Q: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve…

Q: log x – 3 log y +;log x – 2 log w

A: Given,log x-3 log y+12log x-2 log w

Q: Condense 2. Conden se into a single logarithm. 2) log x+log y+ 3log z O a) logxyz3 O b) log(xy/z³) O…

A:

Q: y = x² log2( 4*)

A: given function :

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

A: The exponent 5 becomes the coefficient

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: 8. Express as a single logarithm and simplify if possible: log x + 4 log y – 2 log z A. log 3(술x +…

A: Our Objective is to simplify.

Q: Combine into a single logarithm. log x + log(x2y) + 3 log y

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

Q: Express as a single logarithm. log H+ log Z

A:

Q: Express the quantity as a single logarithm.

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

Q: Condense to one logarithm: 7 log, æ – 6 log, y + 5 log4 z Which answer is correct? A log (7x + 6y +…

A:

Q: Express as a sum of logarithms. log 6(13 • 14) = %3D log 6(13 • 14)

A: We will use the logarithmic property return below

Q: express the following as a single logarithm ln x+ a ln y - b ln z

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: Condense to one logarithm: 7 log4 x – 6 log4 Y + 5 log4 z Which answer is correct? (A log (7x + 6y +…

A:

Q: Express log x log y as a single logarithm

A: Now using the property of logarithm

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

Q: e ecse with the and of logarcdtlmc dffenatiation /-

A: We have to find the differentiation of the given y

Q: Differentiate (a) f(x) = 43 x and (b) f(x) = log2(x 2 + 1).

A: We have to differentiate the given function    the given function is    (a) f(x) = 43x   (b) f(x)…

Q: Express in terms of logarithms of x, y, z, or w.

A:

Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

Q: Express the quantity as a single logarithm.

A:

Q: Expand the log by using the properties of log.

A: The given log function is,

Q: b- find x for following 1. logx = v2

A:

Q: Express as a single logarithm. 3 log bt- log bS O A. log t° + log s О В. Тoд b Oc. log, (° -s) 3t O…

A: Use the exponent rule of logarithm to write 3 as exponent.

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

A:

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

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: ,162,20 If log A log(x) + Blog(y) + C log(z) 27 A = В - C =

A:

Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

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

A: Follow the steps.

Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

A:

Q: single logarithm:

A: Given: log2x -log12x-1 To express: The expression as a single logarithm.

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

A:

Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

A:

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: (B) 3log,(x)-4 log,(y) – log, (z)

A: The detailed solution is as follows below:

Q: Express

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.