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 31002: if f(x) = log5 x+ 4, then f-1(x)=

Click here to see answer by acerX(62)

Question 31002: if f(x) = log5 x+ 4, then f-1(x)=

Click here to see answer by venugopalramana(3286)

Question 31056: the instructions say to "identify the multiplier for each growth rate."
I'm not sure what to do and number 6 reads as follows: 4 percent. How do I find the multiplier?
Click here to see answer by acerX(62)

Question 31046: the square root of (3x+10) = 1 + the square root of (2x+5)
Click here to see answer by Cintchr(481)

Question 31046: the square root of (3x+10) = 1 + the square root of (2x+5)
Click here to see answer by ikdeep(226)

Question 31112: Hello,
My name is Kristin and I am studying for a math placement exam. I am rusty on
some Algebra questions. Can you show me how, step by step?
If log10s=4, then s=
Thanx
-Kristin
Click here to see answer by venugopalramana(3286)

Question 31116: Hi,
It's Kristin again and I told you I would be back for more :) I tried to reverse what you said, but I am confused.
quest: If 7^x=3, then x=
Is the ans log3(7)
Click here to see answer by longjonsilver(2297)

Question 31237: Hey,
It's Kristin again, I have another question for you about logarithms.
t=e^x+2 then x=
Thank you in advance.
-Kristin
Click here to see answer by longjonsilver(2297)

Question 31241: Hello,
Kristin needs more help w/ a practice problem:
f(x)=x^2 - kx - 3 and f(2)=9, then k=
-Thanks,
Kristin
Click here to see answer by longjonsilver(2297)

Question 31240: Hello,
I have another question from my practice math exam, please help!
(8)^2/3 (16)^1/4=
-Thanks
Kristin
Click here to see answer by longjonsilver(2297)

Question 31428: how do i find the natural log of a natural log of e with an exponent of negative x
Click here to see answer by stanbon(75887)

Question 31655: Question:
Express in terms of logarithms of x, y, and z: log [a] 4xy^5/z^5
Answers:
(1) 4+log[a]x+5log[a]y-5log[a]z
(2) 20+ log[a]xy-5log[a]z
(3) log[a]4+log[a]x+5log[a]y-5log[a]z
(4) log[a]4+log[a]x+5log[a]y/5log[a]z
Please be specific as to which answer is correct. This is a confusing question to me. Thank you greatly.
Click here to see answer by longjonsilver(2297)

Question 31666: Oh this logarithm problems are killing me :)
Can you help! Write hte logarithm of a single expression:
log[b]6x+4(log[b]x-log[b]y)
(A) log[b] 6x^5/y^4
(B) log [b] 24x^2/y
(C) log [b] 10x/4y
(D) none of these.
Do we even consider the "B" in this expression?
Click here to see answer by mukhopadhyay(490)

Question 31745: I have never understood how to do these type of problems.! Can you help.
Question:
Evaluate : log 7 (1/49)
Choices:
(A) 2
(B) -3
(C) 3
(D) -2
Thank you
Click here to see answer by mukhopadhyay(490)

Question 31751: Question reads:
Write in exponential form q=log [37]p
(A) 37^p=q
(B) 37=p^q
(C) 37=q^p
(D) 37^q=p
Thank you
Click here to see answer by mbarugel(146)

Question 31754: Question: Given log[10]3=M and log [10]2 =N, find log[10]6.
Answers:
(A) 10^M+N
(B) M+N
(C) MN
(D) 10^MN
THanks!
Click here to see answer by mukhopadhyay(490)

Question 31783: Question reads like this:
Evaluate: 1n(1/5sqrt3)
Can you help???
Here are the answers:
a. 1/5
b. -1/5
c. -5
d. 5
Thanks a bunch
Click here to see answer by stanbon(75887)

Question 31804: What is the difference[s] in common logarithms.natural logarithms, and numerical logarithms
Click here to see answer by longjonsilver(2297)

Question 31854: find the orgianl amount when;
carbon 14 half life is
5730 after 1000 year is 2g. what is the original amount. the answer is 2.26g. i need to know the formula.
Click here to see answer by stanbon(75887)

Question 31889: This is a question on a take home assignment, extra credit. Please help!
Find all real solutions to the following equation :
log [2](x+2) +log{2}(x+4) =3
(A) x=0
(B) x=4
(C) x=0, -6
(D) none of these
Thank you for your help!
Click here to see answer by Nate(3500)

Question 31890: Write the equation 125^4/3=625 in logarithmic form.
(A) log [625]125=3/4
(B) 2log[4]625=125
(C) log[4/3]625 =125
(D) log [125]625=4/3
Thank you!
Click here to see answer by longjonsilver(2297)

Question 31814: The question is:
Evaluate: 1n(1/5 sqrt e)
Possible choices are:
a. 1/5
b. -1/5
c. -5
d. 5
Thanks for your help
Click here to see answer by mukhopadhyay(490)

Question 32188: 2^x-2 = 314
Please help me solve this equation, I don't understand it at all.
Click here to see answer by mukhopadhyay(490)

Question 31940: Can you give me the step by step solution to:
5^x-5^-x/5^x+5-x = 8 ?
Thanks
Click here to see answer by mukhopadhyay(490)

Question 32453: log516 - log52t = log52

Click here to see answer by mukhopadhyay(490)

Question 32586: -16+0.2(10)^x=35
Click here to see answer by stanbon(75887)

Question 32608: I am not to sure as to how to write "log y -(log 7 + log f)" as a single log. I really need help with this
Click here to see answer by Paul(988)

Question 32619: i got to round these equations using logorithms can anyone please help me
2x = 30
5x - 1 = 3x
3.53x + 1 = 65.4
16x - 4 = 33 - x
7x - 2 = 5x

Click here to see answer by stanbon(75887)

Question 32662: Please help me solve this problem:
Click here to see answer by mahesh36(1)

Question 32882: What is 8x^3-1 in factor form?
Click here to see answer by stanbon(75887)

Question 32881: If the Richter magnitude formula is R=0.671 Log(0.37E)+1.46. R= Magnitude and E= the energy in kilowatt-hours. What is the magnitude of 5.02x10^8 kwh of energy?
Click here to see answer by stanbon(75887)

Question 32884: If the population in India was estimated to be 574,220,000 in 1974 and 746,388,000 in 1984 t=0 in 1974 t=10 in 1984.
the exponential growth function P(t)=P0e^kt, find the value of k. The write the function for the population as a function of time t.
Click here to see answer by stanbon(75887)

Question 33246: ln(x+1)=ln(3x+1) - lnx
solve exactly
Click here to see answer by venugopalramana(3286)

Question 33208: By using the formula logba = (log a)/(log b) where the b is lowered solve log2 10000 where the two is lowered
Thank you in advance for your help.
Click here to see answer by mukhopadhyay(490)

Question 33353: What is Expanding logarithms and how do i do this problem?
ln((e^(4)y)/(d^(2))
Click here to see answer by mukhopadhyay(490)

Question 33626: I really need help !

5) Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:

b) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:

Using this formula, find .
Answer:
Show work in this space

Click here to see answer by Nate(3500)

Question 33754: Use implicit differentiation to find dy/dx:
e^y lnx+ xy3= y^2
Click here to see answer by venugopalramana(3286)

Question 33753: Use implicit differentiation to find dy/dx:
x^2lnx-y^3lny=2
Click here to see answer by venugopalramana(3286)

Question 33987: Use implicit differentiation to find dy/dx:
e^xy- ex^3 = 4y^2
Click here to see answer by venugopalramana(3286)

Question 34349: what is log3 + log5
Click here to see answer by Earlsdon(6294)

Question 31748: Question: Evaluate: 1n(1/5sqrt e)
(A) 1/5
(B) -1/5
(C) -5
(D) 5
Thank you!
Click here to see answer by venugopalramana(3286)

Question 34259: Solve the exponential equation. Round the result to 3 decimal places.
1.
2.
Solve the Logarithmic equation. Round the result to 3 decimal places.
1.
2.
These problems come from pg 85 [Lesson 8.6, Practice C] of Mcdougal Littell's Algebra 2 Chpt. 8 Resource book
Help me A.S.A.P with shown work
Click here to see answer by stanbon(75887)

Question 34700: "SOLVING EXPONENTIAL AND LOGARITHMIC EQUATIONS" ---> why is it that when any value of X results in a log of a negative number, it must be rejected???
it's from a workbook that my professor created - not a textbook.
Click here to see answer by stanbon(75887)

Question 34710: The question goes like this....
Write an exponential function that includes the given points (1,5);(2,7)

Click here to see answer by stanbon(75887)

Question 34711: The problem is a word problem it goes like this...
You invest 2,000 dollars at an annual interest rate of 5% for 3 years.
Find the amount for each account...
Compounded daily = ?
Compounded monthly = ?
Compounded continuously = ?

Click here to see answer by stanbon(75887)

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