To solve:
The given equation algebraically. Round final answer to three decimal places. Use a graphing utility to verify your answer.
Answer to Problem 110E
The solution of our given equation is
Explanation of Solution
Given:
A logarithmic equation:
Calculation:
We will use logarithmic properties to solve our given equation as shown below:
We know that logarithmic functions are not defined for negative numbers, therefore, the solution of our given equation would be
Upon graphing our given function, we will get our required graph as shown below:
Upon looking at our given graph, we can see that the solution of our given equationis
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
- Find the following limit lim x-4 X-72 3x-6arrow_forwardFind the one sided limit Tim f(x) where f(x)= (2x-1 X>1+ *arrow_forwardFind the limit lim X-700 4 13x-15 3x4+x³-12arrow_forwardFind the slope of the line secant to the curve F(x) = 13-x³ (from x=1 to x=2]arrow_forwardFind the ONe sided limit lim 2x X-2 1-xarrow_forwardFor each function, identify all points of discontinuity and label them as removable, jump, or infinite. A) f(x) = x-4 (X+15)(x-4) B) f(x) = (x²-1 x ≤2 14-2x 2arrow_forwardFind the one sided limit 2 lim Flx) where f(x) = (x²-4_xarrow_forwardRequired information A telephone cable is clamped at A to the pole AB. The tension in the left-hand portion of the cable is given to be T₁ = 815 lb. T₁ 15° A 25° T₂ I B Using trigonometry, determine the corresponding magnitude of R. The corresponding magnitude of R is lb.arrow_forwardTwo forces are applied as shown to a hook support. The magnitude of P is 38 N. 50 N 25° DC a Determine the corresponding magnitude of R. The magnitude of R is N.arrow_forwardLet y(t) represent your retirement account balance, in dollars, after t years. Each year the account earns 7% interest, and you deposit 8% of your annual income. Your current annual income is $34000, but it is growing at a continuous rate of 2% per year. Write the differential equation modeling this situation. dy dtarrow_forwardDetermine Whether series converge or diverge if it converge what is the limit. $\{ \frac {(-1)^{n-2}n^{2}}{4+n^{3}}\} _{n=0}^{\infty }$arrow_forwardLet y(t) represent your retirement account balance, in dollars, after t years. Each year the account earns 7% interest, and you deposit 8% of your annual income. Your current annual income is $34000, but it is growing at a continuous rate of 2% per year. Write the differential equation modeling this situation. dy dtarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSONCalculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage LearningImplicit Differentiation with Transcendental Functions; Author: Mathispower4u;https://www.youtube.com/watch?v=16WoO59R88w;License: Standard YouTube License, CC-BYHow to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY