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

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Question 806559: How do I solve 21%2A3%5Ex+-+2%5E%28x%2B3%29+=+3%5E%28x%2B1%29
Click here to see answer by Edwin McCravy(20060) About Me 

Question 806926: solve for x:
e^x - 8e^-x = 2
Ive tried to get these all in terms of base 2, but do not know what to do from there. So i had (2^0)(e^x)-(2^3)(e^-x)=2^1

Click here to see answer by Alan3354(69443) About Me 

Question 806938: how do I write the expression log10(x2 − 36) − 7[log10(x + 6) + 6 log10(x)] as a single logarithm with a coefficient of 1.
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Question 807869: Write the following expression as a single logarithm with a coefficient of 1:
ln(x+1) + ln(x-5) = ?

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Question 807867: Rewrite the expression log base2 x + 4log base2y - 5log base2 z as a single logarithm log base2 A. Then the function. A=?
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Question 807865: Use the Laws of logarithms to rewrite the expression
ln (5square root)xy in a form with no logarithm of a product, quotient or power.
After rewriting we have ln (5square root)xy = A ln x + B ln y

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Question 808409: Log(10+9x)-log(x-1)=2
Click here to see answer by jim_thompson5910(35256) About Me 

Question 808542: Please help me solve for the inverse of this equation
F(x) =+%283%2F4%29+x-5%2F6

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Question 809377: log[10](39.6)
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Question 809659: I am currently working on evaluation exponential function I know how to plug in the numbers..but when I set up the problem, the answer is not what I am getting and I don't know how..can you break it down for me?
A(t)=621(1/2)^t/30=
A(50) = 621(1/2)^50/30= 195.6 rounded = 196
HOW?
I need a breakdown of how this is the answer...Please help me

Click here to see answer by richwmiller(17219) About Me 

Question 809698: What is the exact value of this expression?
Log base 9 of 1/3
I want to know if the process I did is correct.
Since the 1/3 is division, you have to separate from with subtraction.
So I put down
log base 9 1- log base 9 3 then i combined to a single log and got log base 9 (1-3)

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Question 810038: log2(x+2)=2+log2(x-2)



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Question 793101: if 3^x = (3^-x) + 8, what is x?
Click here to see answer by tommyt3rd(5050) About Me 

Question 793103: if 3%5Ex+=+3%5E%28-x%29+%2B+8, what is x?
Click here to see answer by tommyt3rd(5050) About Me 

Question 800048: 8^x=4
Solve for x

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Question 802369: solve for x
9^(7x-9)=5^(9x-9)

Click here to see answer by tommyt3rd(5050) About Me 

Question 810399: How to find the solution of the exponential equation
12 e^x - 13=17? I tried couple times, but not getting the right answer.

Click here to see answer by oscargut(2103) About Me 

Question 810505: Hello! My name is Nevan and I am currently in Alg 2. I have this assignment due in a few days and I got stuck on this problem. I would love a answer and explanation so I know how to do in the future. Much appreciated!
Click here to see answer by richwmiller(17219) About Me 

Question 810507: Hello! My name is Nevan and I am currently in Alg 2. I have this assignment due in a few days and I got stuck on this problem. I would love a answer and explanation so I know how to do in the future. Much appreciated!
Click here to see answer by richwmiller(17219) About Me 

Question 810511: Hello! My name is Nevan and I am currently in Alg 2. I have this assignment due in a few days and I got stuck on this problem. I would love a answer and explanation so I know how to do in the future. Much appreciated!
-----------------------------Problem Below----------------------------
Cockroaches are pretty large bugs that breed very quickly.
For the purposes of this assignment, we will assume the following:
Cockroaches breed quickly enough that their population doubles every minute.
It takes 10 cockroaches to cover one square inch of the ground.
Assume that you start with a population of 1 cockroach (don't ask how it reproduces). Then the cockroach population is p=2t, where t is measured in minutes.
Time = t (In Minutes)
Population of Cockroaches = p
144 sq. inch in 1 sq. foot
(I answered 1 and 2 already)
#1 isn't related to the cockroaches problem. But here it is.
1) If the proportionality constant for the birth rate is greater than that for the death rate, are you going to have exponential growth or decay? Explain.
2) How many Cockroaches cover 1 sq. inch?
3) How long until there are enough to cover the floor of an 8' by 12' kitchen (make sure to convert from feet to inches)?
4) How long until they cover the floor of a typical 2000 square foot house?
5) How long until they cover an area the size of the city of Colorado Springs (about 186 square miles)?
6) How long until they cover an area the size of Colorado (104, 185 square miles)?
7) How about an area the size of the United States (3,539,289 square miles including all 50 states plus DC)?
8) How about covering the world (57,900,000 square miles)?

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Question 810519: I'm having problems with this problem!!!
log_(4) (x^2) - log_(4) (x+4) = 6

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 795065: simplify (x^-5)/y
Click here to see answer by tommyt3rd(5050) About Me 

Question 796077: how would you solve the equation 3^(x-20)=1

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Question 810540: Solve without using Calculator : (11111^2 - 11110^2)
Click here to see answer by tommyt3rd(5050) About Me 

Question 804795: I need help solving this problem: 3log x +2
Click here to see answer by tommyt3rd(5050) About Me 

Question 803855: when combining like terms what is the answer to (x^3+2)^2
Click here to see answer by tommyt3rd(5050) About Me 

Question 804953: Write an Exponential function of the form y=ab^x with given points
(2,18),(3,108)

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Question 811242: I need help with this problem plzz!!
Solve the following equation exactly: log(x+1)+log2=1

Click here to see answer by mananth(16946) About Me 

Question 811959: (9x^2 y^6 / 4x) ^( -1/2)
Click here to see answer by Alan3354(69443) About Me 
Question 811959: (9x^2 y^6 / 4x) ^( -1/2)
Click here to see answer by MathLover1(20850) About Me 

Question 811931: I have a problem trying to solve this logarithm. log base 3 (x^2+1)=4
log3(x^2+1)=4. According to the log rules of logb(+/-) it can be rearranged unless it's multiplication and division, but this has something in the parentheses so how would I go about solving this?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 812287: How would I solve this logarithm?
3x5^2x=11

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Question 812286: How would I solve this?
log2(x-3)-log2(2x+1)=log24 (log base 2, 4)

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Question 812718: Put the function y=2X^2-2x-3 into factored form with integer coefficients and then identify any horizontal intercepts.


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Question 812723: Find any real numbers that satisfy the following equation.
X^2=2(x+3)
Enter the exact answers in increasing order.

Click here to see answer by stanbon(75887) About Me 
Question 812723: Find any real numbers that satisfy the following equation.
X^2=2(x+3)
Enter the exact answers in increasing order.

Click here to see answer by erica65404(394) About Me 

Question 800436: A = P(1+r)^n p= 500.00, r= 6% or 0.06, n=12 years
A= 500.00(1+0.06)^12

Click here to see answer by tommyt3rd(5050) About Me 

Question 798636: I have tried to solve the following equation but unfortunately couldn't managed to do it. This is the simplest form it gets:
(a/x)+lnx=b
How can I find x? Is there a similar function that I can use to simplify it?

Click here to see answer by tommyt3rd(5050) About Me 

Question 812911: Log(3)3^5+log(5)125
Click here to see answer by jsmallt9(3758) About Me 

Question 813648: loge(base 27)9=x
Click here to see answer by ewatrrr(24785) About Me 

Question 813878: How do you solve this step by step? 3^(x-3)= (1/9)^-x
Click here to see answer by Alan3354(69443) About Me 
Question 813878: How do you solve this step by step? 3^(x-3)= (1/9)^-x
Click here to see answer by josmiceli(19441) About Me 
Question 813878: How do you solve this step by step? 3^(x-3)= (1/9)^-x
Click here to see answer by jsmallt9(3758) About Me 

Question 813780: Good Day,
Please help me solve exponential equation, express the solution set so that (a) solutions are in exact form and, if irrational (b) solutions are approximated to the nearest thousandth. support solution by using calculator 4^x-1 = 3^2x
Your help is greatly appreciated!

Click here to see answer by jsmallt9(3758) About Me 

Question 814515: Evaluate log(3)54 + log(3)6 - log(3)4
Click here to see answer by Edwin McCravy(20060) About Me 

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