du log, (-u) u(ln b) dx

Q: Is ln xy = ln x ln y a valid property of logarithms, where x > 0 and y > 0? Explain

A: ln(xy)=ln(x)+ln(y) using the addition property of logarithm. Where x>0 and y>0.

Q: log3 r + [Arcsin(5x)]³ 3

A: To find the derivative of given function.

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: ln(w)=n write in exponential form

A: To write in exponential form. ln(w)=n

Q: Express the ratios in Exercise as ratios of natural logarithms and simplify.

A:

Q: D log (xag) + log (xl)

A:

Q: log(x³) dx

A: Consider the integral: ∫logx3xdx…

Q: Solve: x a + y = logxsin(logx). dx

A:

Q: "b) Find the value of log (-3 – 3i).

A: you can clearly understand if you follow the below solution

Q: use logarith mic diffavehtiation to find y) Sinx

A: Given, y=cos2xsinx To find y'.

Q: log3(x) dx

A: Given integral is ∫ 3x2+log3xdx. Consider u= 3x2.

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

A: The function given is , y=ex+e-xex-e-x. Let z=ex. y=z+1zz-1zy=z2+1zz2-1zy=z2+1z2-1

Q: logx +log(x+3)=1 ? what is x?

A:

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

A:

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

A:

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

A: According to the logarithmic product rule log pq=log p+log q. Use the product rule of logarithm to…

Q: logb bx =________

A: We have to find the value of expression: logbbx From the property of logarithmic,…

Q: log, (x – 5) + log,(x + 3) = 1 In(5x) + In x = ln(100)

A: As per guideline we have to solve the one question

Q: Using logarithmic differentation, find the first deruvative of h(x)=(x^6 tanx)/(e^x sinx)

A:

Q: ( 3x+log; x dx = ? ||

A:

Q: S (log æ + – 5x) dx =?

A:

Q: 3. loga ar =_______

A: Given:  loga ar =_______

Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: Evaluate : |(log x)sin' x dx

A:

Q: cos e Differentiate y =- using Logarithmic differentitation. nxV2x +1

A:

Q: What are the values of e ln 300

A: eln x=x

Q: 4. | е3x dx

A: The substitution method for integration is used when an integral contains some function and its…

Q: Find d/dx(2x) Type ln(x) for the natural logarithmic function.

A: Given query is to find the derivative of 2x.

Q: log (x+8) ) dx 3

A:

Q: = log z in the regio

A:

Q: Find dg Using Logarithmic differentation y =3 2x +1

A:

Q: find log(z) where z=-1-3i.

A: Given:      z=−1−3i

Q: y= log2x

A:

Q: If p(x)=(x3+2x)^sinx, find p′(x).  Enter an exact answer in terms of a natural logarithm.

A: As the given function :- P(X) = ( X3 + 2X )sinx  P'(X) = ?

Q: In2 log2x dx

A:

Q: loga (M/N ) = _________ - ____________ .

A: We know Division property of logarithm is, when we divide two values with same base, we subtract the…

Q: Evaluate logarithm ln e3

A:

Q: To sketch the graph of the function, first replace h(x) with y, then rewrite the logarithmic…

A:

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

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

Q: Calculate 00 exp(-)dx. Note that exp() here is the exponential fun

A:

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: Differentiate. Solve using log properties. log2(e^xcos pi x)

A:

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e7x) − 3x − ln(1)

A: Given:

Q: Find simpler expressions for the quantities e-ln x2

A: e-lnx2

Q: When is ln x negative?

A: When is ln x negative?

Q: log X +1 Rind R'a (x) %3D

A: Inverse of function problem....

Q: loga Mr = ________________

A: Given expression  logaMr

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.