25. y = In xa bx

Q: Follow the steps to find the equation of the tangent line to y-(1+6x) at x 1. This problem has two…

A: Given y=1+6x4x To find the equation of the tangent line at x=1

Q: Solve for x. 5+ln(x-5)=2 Do not round any intermediate computations, and round your answer to the…

A:

Q: 7. g(x) = In (x₂²x)

A: To differentiate the given function.

Q: ould you please explain this to me please? What is the derivative (d/dx):  y=3log8(log2(x))   (y…

A: We can find the derivative as below

Q: using logarithmic differentiation?

A: Please check the answer in next step

Q: Use logarithmic differentiation to find the derivative of the function. (x²+1) tan² x y = x3

A:

Q: 6. Solve the following equations. State exact answers. a. log₂ (x) + log₂ (x + 2) = 3 14x² = 2x+6…

A:

Q: + C + C

A:

Q: Use the properties of logarithms to expand the following logarithm as much as possible. Rewrite as a…

A: log(mn) = log(m) + log(n) Log(m^n) = n log(m)

Q: Melissa's garden is growing! She notices her tomato plants were 2 inches the first week, 4 inches…

A: As per our answering guidelines we are allowed to solve only 3 sub-parts. Kindly repost others.…

Q: Let b be a real number. By considering properties of exponential functions, show that the points…

A: We know, for any real number b > 1,         b0 = 1      => logb(b0) = logb(1)       =>…

Q: Can you explain step by step

A: Step 1:If you need it in ln (i.e loge) instead of log ,write everywhere (ln) instead of logStep 2:…

Q: 10. Algebraically determine how long, to the nearest tenth of a month, it takes the smartphone to be…

A: Use log properties to solve the question.  Log table or log calculated needs to be used.

Q: fx)-Sx+2, xs4 %3D (Cx+8 x>4

A: If the function is continuous, then f(x≤4)=f(x>4) at x=4 So LHS i.e. (x≤4) at x=4 is…

Q: The astronomer Johannes Kepler determined that the time D, in days, for a planet to revolve around…

A: It is given that the astronomer Johannes Kepler determined that the time D, in days, for a planet to…

Q: dy Use logarithmic differentiation to find dx y = (3x* – 2)tan x -

A: Here, the given function is: y=(3x4-2)tan x Taking natural logerithm on both sides: ln y=ln…

Q: Find all the values of the following. Discuss your solution.Justify your answer.   a. ln (-7-i)…

A: Given: ln-7-i -2-3i-3-2i cosh ln4+3i arccos3+2i cos(i)ii

Q: have to find all the solutions for the equations and I keep finding 1 but it tells me I’m wrong

A: We Will find the solution. Try adding parentheses as mentioned since the solution is correct.

Q: Solve for x: log, : - 4 81 - ()

A: Given logx(181)=−4

Q: ple 6 e derivative and g(3x + 1)

A: