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Tutors Answer Your Questions about logarithm (FREE)
Question 59700: Solve both algebraically and graphically.
4^(3x-1)=90
log(4^3x-1)=log(90)
3x-1*log(4)=log(90)
3x-1=log(90)/log(4)
3x=log(90)/log(4)+1
3x=4.2459/3
x=1.4153 (approximately)
Now I need to show this graphically, and am having a hard time remembering how to do it on my graphing calculator.
Click here to see answer by Earlsdon(4898)   |
Question 59745: The population growth of a certain city with a current population of 27345 is modeled by the equation P=27345e^005t where P is the population of the city after t years and .005 is the rate of growth. Write each of the following questions in complete sentences.
a. According to the equation, what will the population of the city be 10 years from now?
b. According to the equation, when will the city's population reach 32000?
Click here to see answer by josmiceli(3003) |
Question 59930: Use the compound interest formula A=P (1+r/n)^nt to answer the following questions. In the formula, A is the amount of money in the savings account, P is the principal, r is the interest rate, t is the time that the money is in the account, and n is the number of times the money is compounded per year. Write each answer to the following questions in a complete sentence.
a. What will be the amount in the account if $800 is invested at 2.4% compounded monthly for 5 years?
b. What amount should a person place in an account if she wishes to have $1500 in 4 years if the money is compounded quarterly at an interest rate of 3.5%?
Thank you for your help!!
Click here to see answer by stanbon(26252) |
Question 59748: Use the compound interest formula A=P(1+r/n)^nt to answer the following questions. In the formula, A is the amount of money in the savings account, P is the principle, r is the interest rate, t is the time that the money is in the account, and n is the number of times the money is compounded per year. Write each answer to the following questions in a complete sentence.
a. What will be the amount in the account if $800 is invested at 2.4% compounded monthly for 5 years?
b. What amount should a person place in an account if she wishes to have $1500 in 4 years if the money is compounded quarterly at an interest rate of 3.5%?
Click here to see answer by tutorcecilia(2042) |
Question 60450: Express the inverse function of y=e^(4x-5) in the form y=a ln x +b. We are looking for the coefficients a and b. I have come up with y=1/4 ln x +5. the 5 seems to be wrong. Any information on this would be helpful.
Click here to see answer by hayek(51) |
Question 60837: Could someone please help me with these problems?
Solve the following equations. Round to 4 decimal places when necessary.
a. Log3 x=8
b. 27^2x+2=81^x-3
c. log2 (3x+2)=3
d. e^3x=80
I am not sure how to make the numbers beside log small
I REALLY NEED HELP ON THESE!!!
Click here to see answer by Earlsdon(4898) |
Question 60837: Could someone please help me with these problems?
Solve the following equations. Round to 4 decimal places when necessary.
a. Log3 x=8
b. 27^2x+2=81^x-3
c. log2 (3x+2)=3
d. e^3x=80
I am not sure how to make the numbers beside log small
I REALLY NEED HELP ON THESE!!!
Click here to see answer by uma(370) |
Question 61134: How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t)=450e^.216t, where t is the time in years? Round your answer to the nearest hundredth year.
Click here to see answer by stanbon(26252) |
Question 61134: How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t)=450e^.216t, where t is the time in years? Round your answer to the nearest hundredth year.
Click here to see answer by funmath(2873) |
Question 60865: 1. describe the transformation of g(x)=-(x-4)^2+1 relative to f(x)=x^2
2.for polynomial function f(x)=x^4-3x^3-3x^3-3x^2+11x-6, list ral zero and multiplicity; find y-intercept and some points.
3. Determine if -1 is a zero of P(x)=x^21-2x^18+5x^12+7x^2-3x+2
Click here to see answer by stanbon(26252) |
Question 61154: I need helping solving this for x:
(ln x)^3=ln x^4
Can I rewrite it as (ln x)^3=4lnx ?
Then can I divide both sides by lnx leaving (ln x)^2=4 ?
Can I now square both sides leaving me with ln x=2 ?
Now I'm not sure what to do next.
Click here to see answer by mathick(4) |
Question 61833: Exponential and Logarithmic Functions
(1)Let f(x) = 2^x , g(x) = (1/8)^x, and h(x) = log sub 2(x). Find each of the following:
f(3)
f(-2)
f(1/2)
g(2)
g(-1)
g(1/3)
h(2)
h(1/2)
(2) Solve each of the following equations for the given variable
(a) 2^a = 16
(b) 3^z = 1/9
(c) 9^n = 3
(d) (1/5)^x = 25
Click here to see answer by funmath(2873) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510
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