Answered: Find the solution of the exponential…

Math

Calculus

Find the solution of the exponential equation 13e^x=19 in terms of logarithms, or correct to four decimal places. x=

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.3: Logarithmic Functions And Their Graphs

Problem 132E

See similar textbooks

Related questions

Q: What is the decibel level of the noise from a motorcycle with intensity 10−2 watts per square inch?…

Q: Express ln( 6x^4 ) − ln( 3x ) as a single logarithm and simplify as much as possible.

A: Explanation of the solution is given below..

Q: Solve for x: log(5x + 45) – logx = 1

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: What is the total amount of 4500 TL with 3,7 % continuously compound interest after 3 years?

A: Given Present value (P)= 4500 TL Rate (r)=3.7% Number of years (t)= 3

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

Q: Find the time it takes for $8,900 to double when invested at an annual interest rate of 8%,…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the time it takes for $950,000 to double when invested at an annual interest rate of 18%,…

Q: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

Q: The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4…

A: We use the formula P = ∫0T f(t)e-rt dt

Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years i.e. and an item is found with only 17% of the original…

Q: Use logarithm properties to find if

Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

Q: Solve for x: 9. -log3 x = – 10 = x You may enter the exact value or round to 4 significant decimal…

A: Given: 95log3x=-10

Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

Q: 1) loga(3-1ogalx-)=2

Q: Express sinh-1 x in terms of logarithms.

A: Let y=sinh-1x⇒x=sinhy

Q: A prestigious bank offers a CD that earns 4.15% interest compounded continuously. Say a CD is…

Q: A quantity with an initial value of 980 decays exponentially at a rate of o.3% every decades. What…

Q: $5,000 is invested in an account earning 6% interest (APR), compounded continuously. How much is in…

A: Total investment P=$5000 Rate of interest R= 6% Time t=3 years Total amount after 3 years

Q: The rate of a continuous money flow starts at $600 and increases exponentially at 4% per year for…

A: Given, Initial amount P0 = $600 R = 4% = 0.04 T = 15 years

Q: Find the time needed to double an investment at 8% annual interest rate compounded continuously.

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5) without a calculator

A: Given equation is :Moving all the logarithm terms and using the property: ln(a) – ln(b) =…

Q: A cell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: A = A0(e-kt) Where , k = Rate , t = time

Q: How long will it take for $4000 to double in value if it is deposited in an account bearing 7%…

A: Continuous compound interest formula: A=Pert P-principle A-Amount r-rate t-number of years.

Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

Q: Express in terms of logarithms of x, y, z, or w.

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513 ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: Jose invests $10,000 at 10% interest that is compounded continuously. Which is the value after 10…

A: We have to find compound amount

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

Q: Suppose your great-great grandfather invested $300 earning 3.5% interest compounded continuously 100…

A: Great grandfather invested = 300 dollars Time = 100 Interest rate = 3.5%

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: A woman invests $6400 in an account that pays 6% interest per year, compounded continuously. (a)…

A: To find the Final amount by using Compound interest, the following formula can be used…

Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

Q: A city has 1000 individuals and its population doubles every 60 years. Give an exponential model for…

Q: Solve for using the definition of logarithm: (logx+29)- 2=0

Q: Calculate: 4 log,5 logg27

A: Given: To Find: The exact value of the given expression

Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value= 8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: A bank note will be worth $86,500 when it matures in 7 years. If the note pays 4.76% per year…

Q: If 10,200 accumulates interest at an annual rate of 9% , compounded continuously, how much will be…

Q: A principal of RM2000 is invested at 10% interest compounded continuously. After how many days will…

Q: The population of Brgy. Sta. Isabel starts with 1,000 individuals and triples every 50 years. (a)…

A: Solution:-

Q: A bank note will be worth $75,500 when it matures in 5 years. If the note pays 4.96% per year…

A: Recall the following fact.

Q: Find the accumulated amount after 5 years if $4500 is invested at 4%/year compounded continuously.

Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

Q: You invest 10,000 and pay 3% interest compound continuously . How will you have in 5 years?

A: Given that You invest 10,000 and pay 3% interest compound continuously . Now we have to find amount…

Q: Find the interest rate needed for an investment of $3,000 to grow to an amount of $4,000 in 4 yr if…

Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money…

Q: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

A: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

Q: A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…

A: Given:A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…

Question

Find the solution of the exponential equation
13e^x=19
in terms of logarithms, or correct to four decimal places.
x=

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35 hours, 50 mg of the substance remains. How manymilligrams will remain after 54 hours?
What rate of interest to the nearest hundredth of percent is needed so that an investment of 2500 will yield 3000 in 2 years if the money is compounded annually?
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?