Given that log 3 (z 1) log 3 z 1 3 log 3 y, express z in terms of y ...

Step1 We can start by using the logarithmic identities to simplify the ...

Given that log 3 (z -1) - log 3 z = 1 +3 log 3 + y,

Question:

Given that log₃(z -1) - log₃ z = 1 +3 log₃ + y, express z in terms of y.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

See More Books

Question Posted: Mar 13, 2023 02:49 AM

See More Questions

Express y in terms of x for each of these equations. a. 2ln(y + 1) ln y = ln(x + y) b. ln(y + 2) ln y = 1 + 2 ln x
Express y in terms of x for the equation 3x 4y + 7 = 0. Check whether the points (23, 4) and (0,7/4)lie on the graph of this equation or not.
Given that log 3 (z-1) - log 3 y, express z in terms of y.
For the circuit in Fig. 8.115, use PSpice to obtain v(t) for 0 6 2 H 24 V 3 04Fv
What distinguishes a paralegal or legal assistant from other law office personnel, such as secretaries or receptionists?
Maximize 4x + 2y subject to the constraints Determine the dual problem of the given linear programming problem. 5x + ys 80 + 2y s 76 20, 20.
A trial weight is added to one end of a long rotor. The vibration level decreases on that end but increases on the other end, and the phase stays the same. What caused this result?
Fabiano Brothers Co. is considering an investment that requires immediate payment of $550,000 and provides expected cash inflows of $100,000 annually for eight years. What is the investments payback...
(2) For f(x)=3+x+30x - 7 (a) Find the domain. (b) Find all critical numbers of f(x) din li (c) Use second derivative test to compute the intervals where f(x) is concave upward and concave downward...
Solve. a. log 2 (log 3 x) = 1 b. log 4 2 35x = x 2
Solve, giving your answers in terms of natural logarithms. a. e x >10 b. e 5x2 < 35 c. 5 e 2x+3 <1
What is the present value of $10,000 discounted at 4.5% compounded annually over ten years?
If you were to win the lotto for 100mil today and were given an option to receive 5.5m for 25 years. Given that interest is currently doing at 3%, which option will you choose? Provide a comparative...
Marcy inherited $25,000 and invested part of it in a money market account (x), part in municipal bonds (y), and part in a mutual fund (z). After one year, she received a total of $1,620 in simple...
Consider two functions f and g, where f (x, y) = g(r, 0) and x = r cos 0, y = r sin 0. (a) With the use of a diagram, identify all the relationships between f, g,x, y, r and 0. (b) Treat a = r cos ,...
Given the following open loop transfer function: 1333 -0.16 0.1(s + 10')(s - 10) (+1)(+10) Sketch the Bode gain and phase plots for this system. You can use the empty logarithmic
dly dr ostake water pressure acts On o cm bdy due to the oater so the reservoir Dom calculakon of the hondantal. force that will Su Baskin 655RAIDA attat the dom body due 7ts design Hychostatic...
The two stepped solid cylinders in Figure consist of the same material and have an axial force f applied to them. Determine the equivalent translational spring constant for this arrangement. Di x. D2
Halley's comet travels in an ellipti- cal orbit with a = 17.95 and b = 4.44 and passes by Earth roughly every 76 years. Note that each unit represents one astronomical unit, or 93 million miles. The...
A transport company runs 21 coaches between two cities every week. In the past, the mean and variance of the journey times were 4 hours 35 minutes and 53.29minutes 2 . What would be the mean and...
The five values in a dataset have a sum of 250 and standard deviation of 15. A sixth value is added to the dataset, such that the mean is now 40. Find the variance of the six values in the dataset.
For the dataset denoted by x in the following table, k is a constant. Find the value of k and calculate the variance of x, given that x = 17. 15 16 17 18 19 20 2k k+5 k - 3 10 8.
If 1 9 . 6 lbs of sand is used to fill a standard cylinder ( 6 diameter x 1 2 height ) , and the max amount of water to be added to the sample without overflowing is 3 . 6 7 lb . , calculate the...
2) Planet Mars has two very small moons, Phobos and Deimos. [Their respective masses are: Mars -6.39 x 1023 kg, Phobos -10.8 x 1015 kg, Deimos - 1.8 x 10 15 kg]. a. Do you think that we can still...
How many acres would be required to build a 5 MW (electrical energy output) biomass power plant via wood chips combustion (operated 365 days a year and 24 hrs/day) if the heating value of the biomass...

Given that log 3 (z -1) - log 3 z = 1 +3 log 3 + y,

Question:

Step by Step Answer:

Step1 We can start by using the logarithmic identities to simplify the ...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

Students also viewed these Mathematics questions