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

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


Question 189243: I do not know hoe to solve the following problem:
9ln5x=3

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Question 189330: Sound: the level of sound V in decibels with an intensity I can be modeled by
V= 10log(I/10^-16)
Where I is intensity in watts per centimeter. Loud music can have an intensity of 10^-5 watts per centimeter. find the level of sound of loud music

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Question 189523This question is from textbook Algebra 2
: Will you please help me solve (1/3) to the m power is equal to 27 to the m+2 power?This question is from textbook Algebra 2

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Question 189529This question is from textbook algebra 2
: Please help me evaluate log 16 64. The 16 is the base. Thank you :)This question is from textbook algebra 2

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Question 189528This question is from textbook Algebra 2
: Please help me solve log16 n is equal to -1/2. The 16 is the base just so you know.This question is from textbook Algebra 2

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Question 189531This question is from textbook algebra 2
: Please help me solve log5 (4x-1) is greater than or equal to log5 (x+2). By the way, 5 is the base :)This question is from textbook algebra 2

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Question 189526This question is from textbook Algebra 2
: Please help me solve log16 n is equal to -1/2. The 16 is the base just so you know.This question is from textbook Algebra 2

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Question 189530This question is from textbook algebra 2
: Please help me solve log5 (4x-1) is greater than or equal to log5 (x+2). By the way, 5 is the base. Thank You :)This question is from textbook algebra 2

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Question 189536This question is from textbook algebra 2
: Can you please help me use log_5 2 is similar to 0.4307 and log_5 3 is similar to 0.6826 to approximate the value of log_5 10/3? (5 being the base in all instances)This question is from textbook algebra 2

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Question 189524This question is from textbook Algebra 2
: I really need your help in writing an exponential function whose graph passes through the points (0,-5) and (-2,-20). Then determining whether the function represents exponential growth or decay. I would really appreciate any help!This question is from textbook Algebra 2

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Question 189524This question is from textbook Algebra 2
: I really need your help in writing an exponential function whose graph passes through the points (0,-5) and (-2,-20). Then determining whether the function represents exponential growth or decay. I would really appreciate any help!This question is from textbook Algebra 2

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Question 189525This question is from textbook Algebra 2
: I need help writing an exponential function whose graph passes through the points (0,-5) and (-2,-20).This question is from textbook Algebra 2

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Question 189535This question is from textbook algebra 2
: Please help me write an exponential function whose graph passes through the points (0,-5) and (-2,-20). Then determine whether the function represents exponential growth or decay.This question is from textbook algebra 2

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Question 189805: what will be the value of log 0.3 to the base 9?
the correct answer is -1/2.
However i am not able to figure out the method

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Question 189805: what will be the value of log 0.3 to the base 9?
the correct answer is -1/2.
However i am not able to figure out the method

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Question 189963: Help I am really stuck on this problem. Need help Please!!!
A twenty year old student has won one million dollars in the lottery. Is it possible for him to have ten million dollars when he is forty years old if he invests in a CD that earns 4% compounded continuously?
If the money is invested into a CD that earns 4% compounded daily, how long will it take the student to have ten million dollars?

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Question 189857: Alpha Centauri, which lies 4.4 light years away, is the closest star system. It would be good candidate for discovering an Earth-like world. The distance to Alpha Centauri is 3,000 times farther than any space probe has ever traveled.
In miles, how far is the journey to Alpha Centauri?
In miles, approximately how far has the furthest space probe traveled?

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Question 189857: Alpha Centauri, which lies 4.4 light years away, is the closest star system. It would be good candidate for discovering an Earth-like world. The distance to Alpha Centauri is 3,000 times farther than any space probe has ever traveled.
In miles, how far is the journey to Alpha Centauri?
In miles, approximately how far has the furthest space probe traveled?

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Question 190197This question is from textbook Algebra and Trigonometry
: Trying to figure out the Discovery Project on Exponential Explosion.
It doesn't really give any formula other than f(x)=2^x.
So I used this formula for the answers.
But when I read back into the section it shows another formula for the growth of viruses. So I am not sure which to use.
Thanks!
This question is from textbook Algebra and Trigonometry

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Question 190411: Can you please help me with this problem:
simplify:
3(5x^2)^(1/3)
I tried to to distribute the (1/3) first and got 3(5^(1/3)*x^(2/3)) then I tried to distribute in the 3 and got 15^(1/3)*x^(2/3) but then I do not know what to do

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Question 190410: Can you please help me with this problem:

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Question 190415: Ok I have this really complicated problem that i don't know howto Solve can you please help me:
Use composition of functions to prove that it does matter what order you use these discounts at the store to get the greatest toal discount. The coupons are for $25 and 40% discount on your total purchase price.

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Question 190413: Please hep me with this problem:

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Question 190414: Can you please help me out with this problem:
{{3(5x^2)^(1/3)}}}

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Question 190788: 4 logx - 6 log (x+2)
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Question 191085: Please help me solve this equation
5-5 Completing the Square
Solving a quadratic equation if the coefficient of x^2 is NOT 1

3x^2+12x-9=0

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Question 191078: Please help me solve this equation
5-5 Completing the Square
Solving a quadratic equation if the coefficient of x^2 is NOT 1

4x^2+24x-8=0

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Question 191083: Please help me solve this equation
5-5 Completing the Square
Solving a quadratic equation if the coefficient of x^2 is NOT 1

3x^2+12x-9=0

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Question 191107: COMPLETING THE SQUARE 5-5
Solving a quadratic equation if the coefficient of x^2 is 1
x^2=4x-13

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Question 191135: 5-5 COMPLETING THE SQUARE
Solving a quadratic equation if the coefficient of x^2 is 1

X^2+6X+5=0

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Question 191134: 5-5 COMPLETING THE SQUARE
Solving a quadratic equation if the coefficient of x^2 is 1

X^2+6X+5=0

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Question 191227: 2.5^x=75
That arrow up sign and then the x is representing that the x is and exponent

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Question 191278: how do you solve this type of problemss
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Question 191417: lnx - ln(x + 2) = 3
This is what I tried:
lnx - ln(x+2) = 3
distributed
lnx - lnx - ln2 = 3
these cancel out leaving...
-LN2 = 3
DIVIDE BOTH SIDES BY -LN2
the answer seems wrong.

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Question 191460: factor completely
x^4-16

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Question 191645This question is from textbook
: pleasee help me solve :
a new truck that sells for $21,000 depreciates 20% each year. write a function that models the value of the truck. fine the value of the truck after 5 years.
This question is from textbook

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Question 192195: Please help me with this algebra 2 problem.
Directions: Using inverses simplify the expression.
#48:5^log x
5
I dont exactly know how to type that but its 5 raised to log is followed by a small 5 thats a little bit lower and next to that a little raised is an x.
I have no idea how to do that but i know that the answer is x could you please explain this to me?

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Question 192240: I need help with this logarithm problem please:
2^(3x)=4^(x-1)

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Question 192248: I need help with this problem:
1/2log(base 6)16x=3

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Question 192264: e^(-x)=6
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Question 192266: log(base5)(2x+15)=log(base5)3x
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Question 192265: 2/3e^(4x)+1/3=4
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Question 192246: I need help with this problem:
e^(-x)=6

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Question 192263: 36^(x-9)=6^(2x)
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Question 192261: log3x+log(x+2)=1
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