Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 1028684: How would you solve this? 1/5 4^x+2=300
Click here to see answer by ankor@dixie-net.com(22740)

Question 1028824: Solve each equation. Show all your work for full credit
a. 3^2n+1 = 81
b. log10 4 + log10 (z+3)=2
Click here to see answer by stanbon(75887)

Question 1028824: Solve each equation. Show all your work for full credit
a. 3^2n+1 = 81
b. log10 4 + log10 (z+3)=2
Click here to see answer by Fombitz(32388)

Question 1028824: Solve each equation. Show all your work for full credit
a. 3^2n+1 = 81
b. log10 4 + log10 (z+3)=2
Click here to see answer by josmiceli(19441)

Question 1028856: Find the account balance after 15 year for an account paying compound interest if you deposit $1000 with a 3% annual interest rate compounded quarterly .
Click here to see answer by solver91311(24713)

Question 1028828: Sketch the graph of f(x)=3(1/2)^x-4
State the functions domain, range, and the equations of its asymptote

Click here to see answer by solver91311(24713)

Question 1028899: solve each equitation round to the nearest four decimal
(a) 6^3x+104
(b) log2+log(4x-1)=3
Click here to see answer by josmiceli(19441)

Question 1028972: The half-life of a substance is 12 hours. Find k to complete A = A sub 0 e^kt.
Using the same k, how long will it take for a sample of this substance to go from 150g to 100g? After every computation, round to the nearest hundredth.
Thank you in advance for your help!
Click here to see answer by josgarithmetic(39620)

Question 1028973: Condense each to a single logarithmic expression:
1/3[2log(x+5) - logx - log(x^2 - 4)]
Thank you!
Click here to see answer by ikleyn(52800)

Question 1028970: The half-life of a substance is 12 hours. Find k to complete the formula A = A sub 0 e^kt. After every computation, round to the nearest hundredth.
Thanks in advance for your help.

Click here to see answer by Cromlix(4381)

Question 1029083: The number of cars and light trucks sold in China is increasing exponentially and can be estimated by: N(t)=1.09(1.3)^t, where N(t) is in millions of vehicles and t is the number of years after 2000.
A.) Estimate the number of cars and light trucks sold in China in 2000,2010, and in 2014.
B.) Graph the function.
My question is how do I figure out the points on the graph? 1.09(1.3)^0,1.09(1.3)^10, 1.09(1.3)^14 or?
Click here to see answer by josmiceli(19441)

Question 1029156: Would a manufacturer be pleased or unhappy if sales of a product grew logarithmically? Why?

Is this a trick question?
Click here to see answer by josgarithmetic(39620)

Question 1029186: 2=log3(x)
Click here to see answer by Fombitz(32388)

Question 1029186: 2=log3(x)
Click here to see answer by Theo(13342)

Question 1029132: Suppose that $1000.00 is invested for 5 years at 7% interest, compounded annually. In what year will the most interest be earned? Why?
Would it be 1000(1.07)^0,1,2,3,4,5? Would it be 5?
Click here to see answer by Theo(13342)

Question 1029618: What is the solution of 16 raised to the (-3n+2)= 64
Click here to see answer by Fombitz(32388)

Question 1030138: I have to solve 2log3x=4. (The 3 is subscript)
I took the 2 from in front and used it as the power to 3. 3 squared is 9 and I don't understand how that equals 4.
Click here to see answer by Theo(13342)

Question 1030195: What is the range of f(x)= -3^x-1
Click here to see answer by ikleyn(52800)

Question 1030367: How do I solve logb(14b^2) given that logb(4)=1.39 and logb(7)=1.95
Thank you
Click here to see answer by josgarithmetic(39620)

Question 1030367: How do I solve logb(14b^2) given that logb(4)=1.39 and logb(7)=1.95
Thank you
Click here to see answer by solver91311(24713)

Question 1030386: How do I solve for x in 2log(x)= -1
Click here to see answer by Fombitz(32388)

Question 1030445: Solve log4(x-1)=3 ##The 4 is subscript
Click here to see answer by Fombitz(32388)

Question 1030712: H(x)=ln(x+3)-5
Click here to see answer by Fombitz(32388)

Question 1030905: Solve this equation for the missing variable.
It's the natural log I have no idea how to do it. Please please help!
ln(x-4)ln(x+6)= ln e^5
Click here to see answer by Edwin McCravy(20059)

Question 1031188: x^5+242=243/x^5
Click here to see answer by ikleyn(52800)

Question 1031606: 2xe^(x^2-1)-3x^2 - 3
How do you find zeros for this types of questions
Click here to see answer by Fombitz(32388)

Question 1031656: Find the exponential function which passes through the points (0,1) and (1,11).
A. 11^x
B. 11^-x
C. 11^x+1
D. 11^x
E. 11^x-1
F. None of the above
Click here to see answer by ikleyn(52800)

Question 1031778: How would you solve the equation
4e^x+1=5
Click here to see answer by addingup(3677)

Question 1031778: How would you solve the equation
4e^x+1=5
Click here to see answer by ikleyn(52800)

Question 1031778: How would you solve the equation
4e^x+1=5
Click here to see answer by MathTherapy(10552)

Question 1031776: How would you find the domain of :
f(x)=8+5ln(2x+3)
I am so confused :(
Please, and thank you
Click here to see answer by ikleyn(52800)

Question 1031777: e^2x+5=8
how would you solve this and i always get confused with ln and log what is the difference??
Click here to see answer by jim_thompson5910(35256)

Question 1031772: Evaluate
lim x -> 0
Click here to see answer by robertb(5830)

Question 1031747: Solve the equation and check your solutions. List any extraneous answer.
log(3x-13)=2-logx
Click here to see answer by robertb(5830)

Question 1031775: How would you find the domain of :
h(x)=3-2log base 4 {(x-2)-5}
Doman had always been one of my worst enemies :(((((
so any help would be greatly appreciated
Click here to see answer by Theo(13342)

Question 1031882: f(x)= e^x/ln(x)
Click here to see answer by Alan3354(69443)

Question 1032116: \sqrt{20\sqrt{5}} I have no Idea how to properly type this. Square root over both of these. Then within that square root, is 20 and another square root of 5. I really have no Idea how to set this up.
Click here to see answer by ikleyn(52800)

Question 1032401: Solve for x:
ln(x+1)=ln(3x)
Click here to see answer by josgarithmetic(39620)

Question 1032052: please help me this expression by simplifying: 15-(-15)^-1/(-15)^-4
Click here to see answer by LinnW(1048)

Question 1032718: A satellite has a radioactive isotope power supply. The power output in watts is given by the equation P = 50e^(t/250), where P is the power in watts and t is the time in days.
a ) What is the half life of the power supply?
b) The equipment aboard the satellite requires 10 watts of power to operate properly. What is the operational life of the satellite?

I am having trouble setting up these equations properly.
Click here to see answer by jim_thompson5910(35256)

Question 1032719: A hard boiled egg has a temperature of 98 degrees celsius. If it is put into a sink that maintains a temperature of 18 degrees celsius, its temperature x minutes later is given by
T(x) = 18+80e ^-0.28x. Hilda needs her egg to be exactly 30 degrees celsius for decorating. How long should she leave it in the water?

I am confused on how to set this equation up properly.
Click here to see answer by robertb(5830)

Question 1032720: The number of people in the Denver suburban area has grown exponentially since 1950 according to the equation P = Poe^kt. In 1950 there were 350,000 people and in 1960 there were 705,300 people. How many people lived in the Denver suburban area in 1980?

I need help properly setting up this equation.
Click here to see answer by josgarithmetic(39620)

Question 1032791: If log2(x+3)=3 then what is x?
Click here to see answer by stanbon(75887)

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