ind the inverse oI [(e²+ e^x) (e-e) (e²e)] (e²+ e^³)

Q: e-2x 2+x In 3x csc' x -) f(x)=. b)Use logarithm to differentiate: y = (3х-1)

A: a)f(x)=ln(3x)csc2x-x5e-x3f(x)=sin2x. ln(3x)-x5e-x3differentiating w.r.t…

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

A:

Q: ab, 8) Simplify log2(-) 3

A:

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

Q: tan s) Differentiate f(x) = 5* log3 %3D csc 2x

A: Consider the function fx=5xlog3tan-1xcsc2x Here, the objective is to differentiate the function.

Q: 8.) Evaluate the following natural logarithm problems: d.) e^0= e.) e^1= f.) e^–0.475 =

A: (d) We need to evaluate e0. Using the property x0=1 for any value of x. We get e0=1. (e) We need to…

Q: how does -1 transform into e^((2k+1)TTi)?

A: (.)  Euler's formula is,             we have to show that .

Q: What is ln(-3)? Explain.

A: We  have given ln-3. We know that lnx is defined if x>0. Domain of lnx is (0,∞). Therefore, input…

Q: Simplify ()g))E").

A:

Q: in X

A:

Q: du / (1 - e")2

A:

Q: Determine the inverse of each function. Express in logarithmic form: A) y=3^x B) y=b^x C) y=(3/5)^x

A: Note: Let f(x) be a function and f(x)=y, then putting y into the inverse of f produces the output x.…

Q: Prove that log b (a ^c)=c log b(a)

A:

Q: Which is the exponential form of log ;x = 2? (A) x= 3? (B) 2* = 3 (C) x' = 3 (D) 3* = 2

A:

Q: *If log(67) + log(y) = log(z), then 67 + y = z. a) True  b)False*If ln(67x) = ln (y), then 67x = y.…

A:

Q: integrate e^(8x+e^(8x))

A:

Q: Differentiate log[log(sinx)]

A:

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given: