Solve. a. log 10 (2x + 9) - log 10 5 = 1 b. log 3 2x
Question:
Solve.
a. log10 (2x + 9) - log10 5 = 1
b. log3 2x - log3 (x - 1) = 2
c. log2 (5 - 2x) = 3 + log2 (x + 1)
d. log5 (2x - 3) + 2log5 2 = 1+log5 (3 - 2x)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (5 reviews)
a The following is a result of the fact that loga logb logab we have log1...View the full answer
Answered By
Kenneth Mutia
I have a B.S. in Statistics from the Jomo Kenyatta University of Agriculture and technology. I have been an academic tutor for over 3 years. I have a passion for helping students reach their full potential and am dedicated to helping them succeed. I am patient and adaptable, and I have experience working with students of all ages and abilities, from elementary school to college in their various fields. I have a wide scope of diverse tutoring experience in several courses of study with significant success as a tutor.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Two judges at a college homecoming parade rank 8 floats in the following order:(a) Calculate the rank correlation.(b) Test the null hypothesis that p = 0 against the alternative that p > 0. Use a...
-
Evaluate f( 3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the function. 3 f(x) 3 - x if x < 2 x if x 2x 2x 5 if x > 2
-
Find the exact value of the following under the given conditions: (a) sin( + ) (b) cos( + ) (c) sin( - ) (d) tan( - ) V5 4 , 0
-
a. Determine IC and VCE for the network of Fig. 4.115. In Figure 4.115 b. Change β to 120 (50% increase), and determine the new values of lC and VCE for the network of Fig. 4.115. c....
-
Sarah Mix is a single, 30-year-old business owner who has $500 a month to invest. This money is in excess of the contribution to her company pension plan. Sarah hears that many of her friends are...
-
1. Without consultation with each other, each of four organizations announces a one-day convention to be held during June. Find the probability that at least two organizations specify the same day...
-
What is the most important item that should be trended on an oil-filled gearbox?
-
The engine hoist is used to support the 200-kg engine. Determine the force acting in the hydraulic cylinder AB, the horizontal and vertical components of force at the pin C, and the reactions at the...
-
Although anxiety is self-limiting, the nurse can help to reduce anxiety by: (Select all that apply.) 1. providing a safety net for the patient. 2. teaching relaxation exercises. 3. helping the...
-
Solve each of these equations, giving your answers correct to 3 significant figures. a. 10 x = 52 b. 10 x = 250 c. 10 x = 0.48
-
The variables x and y satisfy the equation y = a x n , where a and n are constants. The graph of ln y against ln x is a straight line passing through the points (0.31, 4.02) and (1.83, 3.22) as...
-
A manufacturer of four-speed clutches for automobiles claims that the clutch will not fail until after 50,000 miles. (a) Interpreting this as a statement about the mean, formulate a null and...
-
B. What is the output of the following code? #include #include int main() K if (fork() fork()) fork(): printf("1"); return 0;
-
Section A [100 marks] Ptoject instructions: I. As a consultant in logistics management, you are approached by Samsung to compile a report on applying of transport management principles in their...
-
I What is the output of the following C++ program? #include #include main () { int X[5]={2,4,5,1,8), i=0; while (i <2) { cout
-
This table shows the U.S. federal income tax rates from 2017. (Source: Internal Revenue Service) Single Married Filing Jointly Married Filing Separately Head of Household $0-$9,325 $0-$18,650...
-
What total amount was paid for expenses during the current year? What amount was reported as net income for the current year? What amount should be reported as total current assets at December 31,...
-
Determine the natural frequency of the system shown in Figure using Rayleigh's method. Assume small angles of oscillation. Li 1-2
-
Find the reduced echelon form of each of the matrices given in Problems 120. c 1 26 + 4
-
Refer to the following diagram. In position 1, a 10-metre rod is placed 10 metres from a fixed point, P. Six small discs, A to F, are evenly spaced along the length of the rod. The rod is rotated...
-
Fifty 10-gram samples of a particular type of mushroom are collected by volunteers at a university and tested. The following table shows the mass of toxins, in hundredths of a gram, in these samples....
-
The heights, xcm, of a group of 82 children are summarised as follows. (x 130) = 287, standard deviation of x = 6.9. i. Find the mean height. ii. Find (x 130) 2 .
-
A patient is being admitted to receive a high-cost medication at a dose of 1000 mg/hr for 48 hours. The medication is only available in 6-gram vials. In order to minimize waste, what is the lowest...
-
Consider a mass, m, hanging vertically from a spring of spring constant k. The mass m is displaced a distance x from equilibrium and oscillates between a maximum position x and a minimum position X2....
-
A fully loaded diesel engine operating at sea level runs at 2000 rpm and develops 1000 bhp (750 kW). The initial operating temperature of the engine is 518.7R (288.15K). Metered fuel injection is...
Study smarter with the SolutionInn App