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

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Algebra: Exponent and logarithm as functions of power

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Question 79488This question is from textbook
: 8 log 2 cubed =This question is from textbook

Click here to see answer by Mona27(45)

Question 79366This question is from textbook
: 3 to the 1/2 power times 9 to the 1/3 power divided by 27 1/4 power
solveThis question is from textbook

Click here to see answer by Mona27(45)

Question 79364This question is from textbook
: log 3 to the 27th power times log 27 to the 3rd power
solveThis question is from textbook

Click here to see answer by Mona27(45)

Question 79342: condense
ln of 20 + 2 ln of 1/2 - 3 ln of X
Click here to see answer by Mona27(45)

Question 85089: A bacteria culture started with a count of 480 at 8:00 A.M. and after t hours is expected to grow to f(f)=480(c/2)^t. Estimate the number of bacteria in the culture at noon the same day.
Click here to see answer by stanbon(26259)

Question 85124: Solve for x: log2 8 1/3-2x

*note: the "2" after "log" is a subset, or "little" 2
Click here to see answer by stanbon(26259)

Question 85212: Please help
For the following equation, find the interval(s) where f(x),0. f(x)= (1)/(x^2-2x-8)
Click here to see answer by stanbon(26259)

Question 85312: for the functions f and g and the number C, compute (f composed of g)(c)
f(x)=19x^2-2x
g(x)=18x-7
c=8
I am very lost please help.
Click here to see answer by stanbon(26259)

Question 85322: Hi, I have to decide whether or not the functions are inverses of each other.
f(x)=(x-6)^2 , x>=6
g(x)=sqrt x and +6
(not the g(x)=sqrt x+6)
Many Thanks!

Click here to see answer by stanbon(26259)

Question 85307: Hi, I need some help deciding if these functions are inverses of each other. thank you! f(x)=(x-6)^2, x>=6 ; g(x)=sqrt x and + 6 (not sqrt x+6)
Click here to see answer by jim_thompson5910(13787)

Question 85551This question is from textbook

: Word problems is something I have never been good at. This is one of those.
Will I convert the 9% to decimal? Then, where do I go from there to solve this?
Solve the problem (not in Text). Cindy will require $11,000 in 2 years to return to college to get an MBA degree. How much money should she ask her parents for now so that, if she invests it at 9% compounded continuously, she will have enough for school? (Round your answer to the nearest dollar.)
This question is from textbook

Click here to see answer by ankor@dixie-net.com(6691)

Question 85548This question is from textbook Blitzer

: Ugh is all I can say with this and some others I will be posting.
Am I to subtract the log5's and add the ones in the ()?
Question (not in book):
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
log5(x + 4) - log5(x + 1)
This question is from textbook Blitzer

Click here to see answer by jim_thompson5910(13787)

Question 85553This question is from textbook

: This is not easy without a calculator to use.
Page 844
Problem#: 12- Solve each exponential equation by expressing each side as a power of the same base and then equating exponents.
12) 125x = 625
This question is from textbook

Click here to see answer by checkley75(3666)

Question 85549This question is from textbook Blitzer

: Help on this one....what am I to solve to get the answer?
Solve the equation(not in book).
4) log (3 + x) - log (x - 3) = log 3
This question is from textbook Blitzer

Click here to see answer by bucky(1732)

Question 85576This question is from textbook

: Page 810 Problem:56) If the inflation rate is 3%, how much will a house now worth $110,000 be worth in 5 years?
I've done this so far...now I don't know where to go now.
S = t future years
C= 110,000
R = 3%
Note: Period of 60 months (5years).
S=C (1+r)t
3.00% = .03
S=110,000 (1+.03)t
This question is from textbook

Click here to see answer by stanbon(26259)

Question 85578: 110,000 (1 + .03)^ 5
S = ???
I keep getting 126,500 when it should be 127,520.15.

Click here to see answer by jim_thompson5910(13787)

Question 85642This question is from textbook

: Page 808
Problem: #8 approximate the number using a calculator. Round to the nearest three decimal places.
6 exp-1.2
I got 0.786. Is this correct?
This question is from textbook

Click here to see answer by stanbon(26259)

Question 85640This question is from textbook

: Please help with this one. Thanks.

Topic 2: Logarithmic Functions
Page 822
Problem #: 8- Write the equation in its equivalent exponential form.
log5 125 = y
This question is from textbook

Click here to see answer by dolly(163)

Question 85745This question is from textbook

: One of things is I hate when a question is asked in this fashion such as the one below. Help me please. Thanks.
Solve the equation. Give an exact solution.
4x + 6 = 7
This question is from textbook

Click here to see answer by scianci(186)

Question 85740: Please help! I am getting several different solutions. I am lost.
Use the properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate.
log5 (x + 4) - log5 (x + 1)
Click here to see answer by scianci(186)

Question 85750This question is from textbook

: Write the below equation in its equivalent logarithmic form.
10^2 = y
So I did it this way below..is this correct?
y = log10^2
This question is from textbook

Click here to see answer by Nate(3495)

Question 85826This question is from textbook
: evaluate these exponetials (that is, express them in cartesian and/or polar form):
1.) e^1+ipi -- 2.) e^ipi/2 -- 3.) e^e^Inpi+ipi/2 This question is from textbook

Click here to see answer by stanbon(26259)

Question 85907: Given the formula: y = e^.0023x (obtained from an Excel Trend Line function)
How do I solve for x?
I got to:
(y/2.8)^(1/.0023) = e^x
...and then:
natural log((y/2.8)^(1/.0023))
Further, I attempted to convert it to an Excel worksheet function as:
ln((y/2.8)^(1/.0023))
Thanks for any help you can provide.
Click here to see answer by scott8148(3382)

Question 85995: 3x-13 less than or equal to 5
Click here to see answer by tutorcecilia(2042)

Question 86225This question is from textbook Blitzer

: Why is this wrong?
Problem#: 12- Solve each exponential equation by expressing each side as a power of the same base and then equating exponents.
12) 125x = 625
I put for a solution as:
5*5*5X=5*5*5*5
(5^3x)=5^4
x=5^4/5^3
x=5
Why is this wrong?
MAYBE THEY WANTED IT LEFT WITH EXPONENTS THUS:
X=5^(4-3)
X=5^1 ??????
This question is from textbook Blitzer

Click here to see answer by checkley75(3666)

Question 86224This question is from textbook Blitzer

: Problem Solution:
Page 822
Problem #: 8- Write the equation in its equivalent exponential form.
8) log5 125 = y
I put for an answer:-
5^y = 125
Why is it wrong when the question asked to write the equation into its equivalent exponential form? The college teacher says it is wrong and was suppose to solve for Y. The question does not ask that.This question is from textbook Blitzer

Click here to see answer by scianci(186)

Question 86540: what is the simplified form of 2(xy)^3
a. 2x^3y
b. 2x^3y^3
c. 2xy^3
d. 8x^3y^3
Click here to see answer by tutorcecilia(2042)

Question 86548: what is (-5)^-2
a. -10
b. 1/25
c. 10
d. -1/25
Click here to see answer by Nate(3495)

Question 86550: simplify -3a^2b^-5/b^3
a. a^2/3b^8
b. -3/a^2b^8
c. 1/3a^2b^8
d. -3a^2/b^8
Click here to see answer by tutorcecilia(2042)

Question 86546: what is the simplest form of (2x^3y)(4x^2y^3)
a. 8x^6y^3
b. 2xy
c. 2x^6y^3
d. 8x^5y^4

Click here to see answer by jim_thompson5910(13787)

Question 86547: what is the simplest form of (k^2l^4m^2)(kl^2m^3)
a. k^3l^6m^5
b. k^1l^2m^1
c. k^0l^2m^5
d. k^2l^8m^6
Click here to see answer by jim_thompson5910(13787)

Question 86545: what is the expended form of 2(a^2b^3c)^2
a. 4aaaabbbbcc
b. 2aaaabbbbbcccc
c. 4aaaabbbbbccc
d. 2aaaabbbbbbcc
Click here to see answer by jim_thompson5910(13787)

Question 86685: The number of bacteria in a culture grew exponentially. When the experiment began, there were 100,000. Ten minutes later, that number grew to 220,000. Which of the following equations could be used to model this situation?
a. y=220,000(1.08)^x
b. y=100,000(1.08)^x
c. y=100,000(0.92)^x
d. y=220,000(0.92)^x
Click here to see answer by Flake(45)

Question 87225This question is from textbook Algebra & Trigonometry

: 1. I need to solve the following equation: log5x=log4+log(x-3). I think the right way to solve it is to get everything to one side, try for a common base and then solve for x?
2. Solve the problem. Since 1950, the growth in the world population in millions closely fits the exponential function A(t)=26000e^0.018t, where t is the number of years since 1950. Estimate the population in the year 2018 to the nearest million. I am stuck on this one, I am having trouble setting up the problem. I think I need to plug 2018 in for time, get a value and then plug it back into the problem.
I appreciate your help!
Sincerely,
Rachel H. This question is from textbook Algebra & Trigonometry

Click here to see answer by longjonsilver(2297)

Question 87345: What is the answer to (1/2)^-1?
Click here to see answer by checkley75(3666)

Question 87836This question is from textbook

: hello, i am having trouble with this problem is says to simplify the expression and that your answer must be in fraction form. Also all exponents must be positive.
simplify: 3^-7 x^3 y^6/3^8 x^6 y^6

this is what i figured out so far:3^-7 x^3 y^6/3^* x^6 Y^6

3^7 x^3 x^6/ 3^8This question is from textbook

Click here to see answer by Earlsdon(4898)

Question 88690: what is the method to solve for

log base b square root 50.
Click here to see answer by cincinnatus(5)

Question 89896: Please help me. This question is on a sample test as a bonus question.
Solve the equation e^-x²=1/10
Click here to see answer by stanbon(26259)

Question 90951This question is from textbook
: Solve the equation algebraically.

I've tried almost everything I can think of, and still no luck! Please help!This question is from textbook

Click here to see answer by bucky(1732)

Question 91013: Can someone help with this problem
Express as a single logarithm:
log a + log 1 - 2 log b - log c.
Click here to see answer by vertciel(183)

Question 91336: I am so bad with these can someone help me solve this problem:
x = log7(1/49)
The 7 is slightly below the log not beside it. I hope that helps.
Click here to see answer by tutor_paul(424)

Question 91377: help solve log 8 + log 2 =? I need to know how to do this problem.
Click here to see answer by Earlsdon(4898)

Question 91335: Please help Solve this problem:
2^4x = 8
Click here to see answer by bucky(1732)

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