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 578449: Please help me solve the below algebra problem. The problem should read x to the 3/2 power=125... I tried to set up the problem the best way I could. Thank you :)
x^3/2=125
Click here to see answer by KMST(5328)

Question 579079: 64 to the 7/9 power divided by 4 to the 3/4 power. Having trouble showing answer of 8.98.
Click here to see answer by jim_thompson5910(35256)

Question 579128: i need help in math the section were in is applications of logarithms. the problem is x to the power of 2 over 7 =24

Click here to see answer by dfrazzetto(283)

Question 578986: how would you solve 3^(x+4) = 6^(2x-5)?
I don't know where to start...
thank you so much!
Click here to see answer by nerdybill(7384)

Question 579649: Use log(4)3 approxiatimately equals 0.7925 to approximate the value of the expression log(4)384. I cannot come up with any factors that give me 4 or 3 evenly.
Click here to see answer by richard1234(7193)

Question 579984: I submitted a question earlier but I have figured it out. The question was 36 to the 5X - 2 power = 1/6 to the 11- x power. I no longer need the solution as I got the answer which is -5/3.
Thank you.
Click here to see answer by dfrazzetto(283)

Question 580765: please help me with these three prblems by tomarrow... 1. 3^n-2=27.
2. 2^3x+5=128 3. 5^n-3=1/25
Click here to see answer by stanbon(75887)

Question 580940: In terms of logarithms, or correct to at least four decimal places x=
19^x=10.
18e^x=11
x=
In(x)=4
x=
Click here to see answer by Alan3354(69443)

Question 581229: x^1.2=15
Click here to see answer by Alan3354(69443)

Question 581590: i dont undeerstand how to learn 10^6x=1
Click here to see answer by jim_thompson5910(35256)

Question 581664: The question is: log x^3 - 2log 1/x - 1= 0
What I tried:
3log x- (-2log x) - 1= 0
3log x + 2 log x - 1= 0
5 log x- 1 = 0
5 log x = 1
log x = 1/5
x= 10^1/5
or
3log x- (-2log x) - 1= 0
3log x + 2 log x - 1= 0
5 log x- 1 = 0
5 log x = 1
log x^5 = 1
x^1=5
x=5
I'm still confused with this kind of questions. Thanks in advance ^0^!

Click here to see answer by nerdybill(7384)

Question 581749: The question is:
log(base x)2 + log(base2)x= -2
What I did:
log(base x)2 + log(base2)x= -2
log(base x)2+ 1/log(base x)2= -2
(log (base x)2)^2 + 1= -2log(base x)2
Take log(base x)2 as a:
a^2 + 1= -2a
a^2 + 2a + 1= 0
(a+1)(a+1)=0
a+1=0
a=-1
log(base x)2= -1
x^-1= 2
x= 1/2
I tried doing this, but I'm not sure if I'm right =)
Thanks in advance!!
Click here to see answer by lwsshak3(11628)

Question 581754: This is the question:
log(base 5) 125^1/2 + log(base 11) 121^1/3= 13/6
What I tried:
log(base 5) 125^1/2 + log(base 11) 121^1/3 = 13/6
log(base 5) 5*5^1/2+ log (base11) 121^1/3= 13/6
Yup,unfortunately, I'm stuck at here.
Thanks in advance ^0^!!
Click here to see answer by nerdybill(7384)

Question 582434: Hi, I'm having a lot of trouble with a couple of different questions. I did do the homework on this, but I feel like I did not do an example like this.
A) (25u^2)^5/2

B) b^2/3b^2/3 / -b^1/3
C) Find the perimeter of the trapezoid. This one they gave us a problem like it, but they never made us set it up fully. So I'm not even sure how to set it up.
Sides: 4 square root of 50, 2 square root of 72, 3 square root of 2, & the square root of 50.
Click here to see answer by stanbon(75887)

Question 582895: Solve log5x+log10=0. Round to the nearest hundredth if necessary.
This what I have tired:
log5(x+2)=0
10^log5(x+2)= 10^0
5x+10=1
I wasn't sure what to do next and if I was doing the problem correctly.
Click here to see answer by nerdybill(7384)

Question 583758: Suppose the population of a country was 200,000,000. If the population grows by 1.5% annually, by how many people will the population increase in the next 6 years?
Click here to see answer by Alan3354(69443)

Question 583869: simplify the expression
5^3/2*5^1/2
Click here to see answer by stanbon(75887)

Question 584809: Natural logarithms question : In3x=8
Click here to see answer by solver91311(24713)

Question 584812: 2 log 5 + log x=2
Click here to see answer by nerdybill(7384)

Question 585113: The value of a piece of equipment has a decay factor of 0.80 per year. After 5 years the equipment is worth $98,304. What was the original value of the equipment?
Click here to see answer by richwmiller(17219)

Question 585112: The value of a piece of equipment has a decay factor of 0.080 per year. After 5 years, the equipment is worth $98,304. What was the original value of the equipment?
Click here to see answer by Alan3354(69443)

Question 585155: Can anyone please help me solve the below algrbra problem. Please and Thankyou
4+5e^-x=9
Click here to see answer by lwsshak3(11628)

Question 585321: I know only basic maths. I have a great calculator.
Negative exponent - less than 1
How do I solve for V in the equation 11.2 = 276V^-0.65?
i.e. 276V to the power of minus .65.
Thanks.
Click here to see answer by Alan3354(69443)

Question 585645: Okay so for a car project I have this problem and I need to find out how long it would take for me to pay for the car to pay less than 125% of what it is worth.- A=P(1+r/12)^t. A= amount of money total i paid for the car,P= amount of loan i needed) r= interest rate and t= length of loan(in months)
For my particular case, I have: A= 26641.12, P= 21000, r= .0349 (3.49%), and t= 48. I know I have to use logarithms to get T down to find the time, but I'm stuck
Click here to see answer by ankor@dixie-net.com(22740)

Question 586071: Translate the given logarithmic statement into an equivalent exponential statement.
log(a+c)= d
Click here to see answer by jim_thompson5910(35256)

Question 586510: how do you solve 2 log x = -1
Click here to see answer by Alan3354(69443)

Question 586189: 4e^x+2=32
ln(5x-3)^1/3=2
2x^(3x-2)+4=16
2e^(x-2)=e^x+7
1/3lnx+ln2-ln3=3
ln(x+2)-ln4=3
Hello. Thank you for your time. I have a test and Im practicing on these problems, but I keep getting something wrong. Can you work them out please? Thank you sooo much!!! =)
Click here to see answer by ankor@dixie-net.com(22740)

Question 586750: how do i solve: log base 2 8 (log2 8)
Click here to see answer by Alan3354(69443)

Question 587053: I would like to know how to figure out if a function is NEITHER exponential growth or decay! For example, is the following function neither!?: (please explain why or why not)
y=3*((e^-1)^x)-8
Thanks in advance! :-)
Click here to see answer by stanbon(75887)

Question 587356: which of the following shows log27 9=2/3 correctly written in exponential form?
Click here to see answer by Alan3354(69443)

Question 587461: the population of India is 1.17 billion people and is expected to double in 44 years. the population of CHina is 1.34 billion people and is expected to double in 67 years. if the trends continue, when will the population of inda be the same as China's? round your answer to the nearest tenth of the year.
Click here to see answer by stanbon(75887)

Question 587486: how do you factor this problem?
x^4-16
Click here to see answer by richwmiller(17219)

Question 587486: how do you factor this problem?
x^4-16
Click here to see answer by stanbon(75887)

Question 587486: how do you factor this problem?
x^4-16
Click here to see answer by solver91311(24713)

Question 587537: solve for x 4e^2x = 14
Click here to see answer by edjones(8007)

Question 587847: Solve the equation: loga^x-loga^(x-5)=loga^6
log of a to x minus log of a to x-5 equals lof of a to the six
We are supposed to use the properties of logarithms to solve this problem.
Click here to see answer by lwsshak3(11628)

Question 587956: The equation of curve is y=ax^n. Given that the points (2,9) and (3,4) lie on the curve, calculate the value of a and n.
Attempt:
9=a(2)^n
n=log2 (9/a)
4=a(3)^n
n=log3 (4/a)
Click here to see answer by scott8148(6628)

Question 589185: How do I solve
5^x=1/125?

Click here to see answer by Alan3354(69443)

Question 589194: Solve each equation:
x=lne^10
lnx=2
Click here to see answer by Alan3354(69443)

Question 589316: What is the answer to the logarithm equation of log 23
Click here to see answer by richwmiller(17219)

Question 589303: y=1000(2)x
Click here to see answer by richwmiller(17219)

Question 589320: What is the value of 4^10 x 8^20? Express your answer in the form a^b where a and b are positive integers such that a is the least possible positive integer.
Click here to see answer by richwmiller(17219)

Question 589806: Condense the expression:
lnx + lny + lnx + 2lny - 2lnx - lny
this is for my test preperation
Click here to see answer by unlockmath(1688)

Question 590108: Hi, I've been having trouble with logarithms, i tried to solve the problem below but i'm not sure if it's correct.
ln3x-ln15=2
How i tried to solve:
ln3x-ln15=2
ln3x divided by ln 15 = 2
then i crossed out ln with e
divided the 15 & 3 =5x
and i got x=2 over 5 e
Hopefully, that made sense.
Click here to see answer by Alan3354(69443)

Question 590179: I need help please on changing to exponential form. logb (x+1)=10
Click here to see answer by solver91311(24713)

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