Answered: Solve the following exponential…

Math

Advanced Math

Solve the following exponential equation in irrational solution exact form 4^x+2^x+1-1=0

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.6: Exponential And Logarithmic Equations

Problem 1SE: How can an exponential equation be solved?

See similar textbooks

Related questions

Q: How many years will it take a $815 investment to be worth $1,392 if it continuously compound at 7%…

Q: A company invests $20,000 in a CD that earns 8% compounded continuously. How long will it take for…

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2 (x…

A: Given: The equation log2(x+1)-log4(x)=1

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: Find the time it takes for $9,400 to double when invested at an annual interest rate of 6%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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

Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

Q: Solve for 2x- 1 bl log4 (10-2)-0

A: (a) e2x-1 = 7 Taking log on both sides Ln (e2x-1) = Ln 7 (2x - 1) Ln (e ) = Ln 7. { Ln ab = b…

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2 x…

A: log2x-log6x=3

Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of carbon-14 to be…

A: We have to find

Q: How much money invested at 5 % compounded continuously for 3 years will yield $ 820

A: Given: Rate of interest(r) = 5% = 0.05 (continuous compounding) Future amount(FV) = $820 time…

Q: How much money invested at 5% compounded continuously for 3 years will result in $82

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: Suppose you deposit $800 in an account that pays 4.25% annual interest compounded quarterly for five…

A: The principal amount is: P=$800 Rate of interest: r=4.25% And the time: t=5 years The interest is…

Q: 4. loga dx %3D

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period.2…

A: Given: P=12,104 dollarsr=0.062t=2 years

Q: The balance owed on your credit card doubles from $1000 to $2000 in 6 months. If your balance is…

A: Given , The balance owed on credit card doubles from 1000$ to 2000$ in 6 months.As the growing is…

Q: Because of a virus introduced into a bacterial culture, the population of the bacteria decreased…

A: Exponential decay is N = 50000e-λt Therefore, 30000 at t= 54 min Therefore 30000 = 50000e-λ54…

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log9 x…

A: Use the log property to simplify the left side of the equation log9 x+3 log3 x=14. Use property…

Q: 2. If $500 is deposited in an account paying 8.3% annual interest, compounded continuously, how long…

A: Let us consider the principle amount P then the the amount obtained after t years at the rate of…

Q: A person invested $5, 600 in an account growing at a rate allowing the money to double every 6…

A: Consider the initial amount is $5600 The doubling time is 6 years The general form for the growth…

Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

Q: Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously. Assuming…

Q: A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Q0 to…

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

A: Let the time taken be t years

Q: The initial population of Sim City is 103 residents, and it grows with a doubling time of 2 hours.…

Q: A person invested $2,500 in an account growing at a rate allowing the money to double every 11…

Q: Solve 3 log 80 - ln 5log 5

A: 3log80-ln5log5 Now, simplifying the above expression using the property of logarithms.…

Q: Suppose $22000 is invested in an account for 6 years. Find the balance in the account if interest is…

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: Antonio deposits $9,200 in a savings account that pays 5.5% compounded continuously. How much will…

A: We have to find

Q: If 3000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

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

Q: solve for x log4(3x-2)=2

A: Given logarithm equation is shown below.

Q: A principal of Php 12000 is deposited in a 7% account and compounded continuously. At the same time…

A: Solving the problem by finding the value of the time in years.

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

Q: Solve for x: 4 log3 x = 7

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

Q: Suppose that $40000 is invested at 7% interest per year. Find the amount of money in the account…

A: Given, P = 40000 dollars r = 0.07 t = 6 year If the interest rate is compounded n times per year,…

Q: A quantity with an initial value of 510 grows exponentially at a rate such that the quantity doubles…

Q: Find the total accumulated amoun

A: Given: Invested amount = $6500 Interest rate = 5 %

Q: Solve for x. logx 8 = 3

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: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

Q: Solve for x: 3+log2(5x-1)=11

Q: ,400 in an account growing at a rate allowing the money to double every 6 years. How much money…

A: Introduction: The formula for the growth function is given by, A=A0ert Where A0 is the Initial…

Q: What present value amounts to $21,204.90 if it is invested for 6 years at 7% compounded every 4…

A: A=P1+rnnt

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)…

Question

Solve the following exponential equation in irrational solution exact form 4^x+2^x+1-1=0

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 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Transcendental Expression$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

According to your model, what is the length of the sunspot cycle (in years)? In 1848, Rudolph Wolf determined the length of the sunspot cycle to be 11.1 years. How does your value compare with his?
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?
How can an exponential equation be solved?
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
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?
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?
Mouse populations can double in 8 months (A=2A0) . How long will it take for a mouse population to triple?
On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.