x' 5 The expression log is equivalent to

Q: log(2 + (3 * i))^e =

A: Consider log2+3ie. We know that logx+iy=logx2+y2+itan-1yx and logza=alogz. Therefore…

Q: jet Za = end P- 1ti Express La for m on their exponential

A: A.)Given values are  Z2=3-i3 ,w=1+2i,p=1+i To evaluate Z2w Let  Z=Z2wZ=3-i31+2i Taking log on both…

Q: 6. A student is asked to find the value of the following logarithmic function without using…

A:

Q: express equation in logarithmic form  e^x=5 is the equivalent to the logarithmic equastion:…

A:

Q: olve 32+1 = 22, expressing your answer in exact form in terms of log3-

A:

Q: Log (i3)=

A: Log (i^3) = Log (i^2 . i) = Log (-i) Let z = - i = 0 - i  Then we get, abs z = sqrt [0^2 + (-1)^2] =…

Q: log3(x) dx

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

Q: log, (x-5)+log,(x+3) =1

A: To find log9(x-5)+log9(x+3)=1

Q: Find the largest value of x that satisfies: log, (z?) - log,(т+ 4) 3D 6 || | x = You may enter the…

A:

Q: 1) log, (x)+log, (y)-log, (z)-log, (m)

A: Given expression can be written as

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: Find the exponential function y = ab whose graph passes through the points (3, 108). y = > Next…

A:

Q: express the numbers in terms of natural logarithms. cosh-1 (5/3)

A: We have given cosh-153 Let x=cosh-153 ⇒coshx=53 We know that coshx=12ex+e-x Therefore,…

Q: 111. Graph Y, = log(x²) and Y, = 2 log(x) using a graphing utility. Are they equivalent? What might…

A: Explanation: Given that,  Y1=logx2Y2=2logx

Q: Solve the equation

A: The given equation is log3x+4=log31-x

Q: Solve the Logarithms Equation. sin 4 1 log2 (3 – X) – log2 + log2(x + 7) 5 - x

A:

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

A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13

Q: 2) If x=0 and y=5 Check if the following statement is true. Explain and show your work. log, (5x –…

A: log of negative number does not exist

Q: Tutorial 13 Express cosech-'x in terms of logarithm. Hence, solve the following equation and give a…

A:

Q: Solve the equation.

A: Given, 3log2x=2log23

Q: 4. | е3x dx

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

Q: Evaluate the integrals

A:

Q: Solve the exponential equation ex = 5.7 Express the solution set in terms of natural logarithms or…

A:

Q: sin³ (x)(2x+5)6 Find y' if y = Text=s) log,(2x)' -5

A: We have to find derivative of the given function

Q: 2. Solve for x. (Just type the value.) log (25x + 500) = 3 %3D

A: By simply take exponential on both sides we can solve the given problem

Q: If Ptiq a %3D prove that log ay") a lap + Ba) %3D

A:

Q: loga 1 =

A: Given: loga(1)

Q: 16. Solve the equation log,(r+1) – log,(x) = 2 %3D

A:

Q: Quèstion 2 log(2 – 3i) = 2.56 +0.98 i + i 2kt 2.56 --0.98 i + 2k TI 2.56 -0.98 i +i 2k TI 2 2.56…

A: We need to find the solution to log(2-3i). Options are given .We need to choice the correct answer.

Q: log, (x + 1) = 2 + log, (3x – 2)

A: We have to solve the equation: log4x+1=2+log43x-2 We know the properties of logarithm,…

Q: Rewrite the expression as a single logarithm. Show work 1/2 ln(2? + 1) + ln(? − 1) − 3 ln(?^2 + 1)

A:

Q: Solve for x by converting the logarithmic equation to exponential form. ln(x)=4 Enter the exact…

A: Given: lnx=4 We know that If lna=b then a=eb

Q: Find the exact solution to the equation below. (Do not give a decimal approximation.) log(2 – x) –…

A: The solution is:

Q: If p(x)=(2x+4)^tanx, find p′(x).  Enter an exact answer in terms of a natural logarithm.

A:

Q: Express cosechx in terms of logarithm. Hence, solve the following equation and give a reason for…

A: We have to Express Hyperbolic Cosecant Inverse x in terms of Logarithm and then solve the given…

Q: 1) log,, X If 10 2 what is the value of x? 1-log, 2

A:

Q: The pK, of a solution is defined by the equation: pK = -log K. %3D Where: K. = acid dissociation…

A:

Q: Express cosech'r in terms of logarithm. Hence, solve the following equation and give a reason for…

A:

Q: Solve the exponential equation ex = 5.7. Express the solution set in terms of natural logarithms or…

A: Given:   ex = 5.7

Q: Find the largest value of e that satisfies: log, (2?) – log2(x + 1) = 1 You may enter the exact…

A: Solving it by using the logarithmic properties.

Q: logix +log, (x- 12)=3

A:

Q: Find the exact value of each logarithm without using a calculator. Show and explain your work. 7.…

A: Given the logrithmic expressions

Q: loga 1 = _______

A: We have to find the value of logarithmic expression: loga1 We know the properties of logarithms,…

Q: Solve the log equation. Be sure to check your solutions. log 5(x+ 7)+ log 5(x + 3) = 1

A:

Q: Solve the equation. Find the exact solution if possible; otherwise, use a calculator to approximate…

A: log21-x=4

Q: 5. Condense log, a + log, (x - 3) into a single logarithm term then solve the equation log, x + log,…

A: The detailed solution is given below Thank you

Q: match the logarithmic expressions

A: We have  ax=b ⇒logab=x Also log(a×b)=log a+log blog(ab)=log a-log blog ab=blog a Using the above…

Q: Solve for x. (not all possible solutions are actual solutions) log,(x + 5) = 2 – log, x -

A: We have to solve

Q: log432 +2092 =?

A: We now that logbx=y.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.