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

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


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


Question 92097: Find the exponential decay function for a radioactive material that has a half-life of 1234 years. How long will it take until only 10% of the material remains?
Click here to see answer by stanbon(26259) About Me 

Question 92471: If logb 2=x and logb 3=y, evaluate the following in terms of x and y:
(a) logb 216=
(b) logb 162=
(c) logb 2/9=
(d) logb 9/logb 8=
Thanks

Click here to see answer by Edwin McCravy(2920) About Me 

Question 92494: Can you help me figure out how to graph natural log's...the problem i have is:
y=ln x

Click here to see answer by Nate(3495) About Me 

Question 92619: If m and k are positive and , what is in terms of k?
Click here to see answer by psbhowmick(456) About Me 

Question 92738This question is from textbook
: 5) the function P = 13 + 45lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.
a) Use this model to approximate the percentage of spam in the year 2003.
ALL I CAN SAY IS HUH?
b) Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change.
PLEASE HELP THIS IGNORANT STUDENT
This question is from textbook

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

Question 92941: I need help - PLEASE
I need to convert between logarithmic and exponential form:
1. log2 16 = 4 (to exponential)
2. log5 125 = 3 (same)
3. 10^-1 = 0.1 ( to logarithmic)
I need to evaluate these:
log3 81
log4 256
I am lost - please help
LLO

Click here to see answer by psbhowmick(456) About Me 

Question 92951: I will try to write this correctly -
5^x-1 = 125^2x+3 ( the x-1 and 2x+3 should all be in superscript and raised)
HELP
need to solve
thank
lucy

Click here to see answer by jim_thompson5910(13787) About Me 

Question 92970: 2(4^x+1) = 1
Solve for x.
thanks.

Click here to see answer by jim_thompson5910(13787) About Me 

Question 92974: 2^x+2 - 2^x = 48

thanks. sorry for all the questions. your help is great.

Click here to see answer by psbhowmick(456) About Me 

Question 93116: How do i evaluate the following:
log3 81
log4 256
log2 (1/32)
log5 1
log3 (-1)
Please help
thanks
Lucy

Click here to see answer by stanbon(26259) About Me 
Question 93116: How do i evaluate the following:
log3 81
log4 256
log2 (1/32)
log5 1
log3 (-1)
Please help
thanks
Lucy

Click here to see answer by venugopalramana(3286) About Me 

Question 93117: Can;t remember if I ask this or not - but will ask again - THANK YOU
How do i wrtie the following in exponential form
log2 16 = 4
log2 125 = 3
and
how to I write the following in logarithmic form
10^-1 = 0.1
thanks
Lucy

Click here to see answer by Nate(3495) About Me 
Question 93117: Can;t remember if I ask this or not - but will ask again - THANK YOU
How do i wrtie the following in exponential form
log2 16 = 4
log2 125 = 3
and
how to I write the following in logarithmic form
10^-1 = 0.1
thanks
Lucy

Click here to see answer by bucky(1732) About Me 

Question 93276: Need to solve the following - PLEASE HELP!!!
1. 4x^3/4 = 108 (exponent is 3/4)
Also - this one is weird to write
2. e^x * 4e ^2x+1 (the 2x+1 are all in superscript/exponents)
And one more - tough to write
3. 5^ x-1 = 125^2x+3 ( the x-1 and 2x+3 are exponents/superscript)
THANKS THANKS

Click here to see answer by Nate(3495) About Me 
Question 93276: Need to solve the following - PLEASE HELP!!!
1. 4x^3/4 = 108 (exponent is 3/4)
Also - this one is weird to write
2. e^x * 4e ^2x+1 (the 2x+1 are all in superscript/exponents)
And one more - tough to write
3. 5^ x-1 = 125^2x+3 ( the x-1 and 2x+3 are exponents/superscript)
THANKS THANKS

Click here to see answer by stanbon(26259) About Me 

Question 93295: I need help with these - PLEASE!!!!
okay
1. log4 7 = x ( the 4 should be lower - you know!!!)
2. log0.8 10 = x (same thing)
3. logx 343 = 3
Hope these make sense
Thanks
Llo

Click here to see answer by stanbon(26259) About Me 

Question 93454: need to solve -
log9 (1/3) = y
Don't get - have put it in 9^y = 1/3 - now what
HELP
thanks

Click here to see answer by bucky(1732) About Me 

Question 93393: sorry wrong equation
log9 (1/3) = y (1/3 is NOT exponent)
Sorry
llo

Click here to see answer by bucky(1732) About Me 

Question 93602This question is from textbook
: please help me write this problem in exponential form this is hard to write out on a computer log(a little 4)32 = x This question is from textbook

Click here to see answer by stanbon(26259) About Me 

Question 93600This question is from textbook
: If f(x) = 3x + 1, and g(x) = (x^2 + 5x )^-1/2, can someone help me find g(f(x))???This question is from textbook

Click here to see answer by stanbon(26259) About Me 

Question 93741This question is from textbook
: How would you put the problem 2.2.2.7.7.7.7.7 in exponential form?This question is from textbook

Click here to see answer by stanbon(26259) About Me 

Question 93731: I'm confused on how to do logs. the question is:
log27x=2/3
Could you solve it step by step to help me better understand it please.
Thanks,
Bradley Whittington
Lt. Governor, Division 18
Alabama District

Click here to see answer by stanbon(26259) About Me 

Question 93744This question is from textbook
: How to rewrite the addition 6+6+6+6+6 as multiplication?This question is from textbook

Click here to see answer by stanbon(26259) About Me 

Question 94607: my worksheet says to solve this problem, could you please help me? thank you
3^x=27^(x+1)

Click here to see answer by Nate(3495) About Me 

Question 94608: my worksheet says to simplify this problem, could you please help me? thank you

Click here to see answer by Edwin McCravy(2920) About Me 

Question 94675: KEEP GETTING THESE WRONG - HELP PLEASE
Need to solve:
log9(1/3)=y
Need to simplify:
e^x * 4e^2x+1 (the 2x+1 is all in exponent)
Thanks
LLO

Click here to see answer by Nate(3495) About Me 
Question 94675: KEEP GETTING THESE WRONG - HELP PLEASE
Need to solve:
log9(1/3)=y
Need to simplify:
e^x * 4e^2x+1 (the 2x+1 is all in exponent)
Thanks
LLO

Click here to see answer by stanbon(26259) About Me 

Question 95529: Can I please get some help with this problem, I would really appriciate it. Thanks for the help: 6^n-5 Times 3^5-n=?. The n-5 and 5-n is the exponent.
Click here to see answer by samuenkadi(3) About Me 

Question 95686: From the information in the table providing values of f(x) and g(x), evaluate (f *g) ^1 (3) the table of
.. x = 1, 2, 3, 4, 5 the table of
f(x) = 5, 3, 5, 1, 2 and the table
g(x) = 4, 5, 1, 3, 2.

Click here to see answer by stanbon(26259) About Me 

Question 95868: log 28.9=
log .0472=
antlog 2.3010=
antilog (8.3010-10)= use the table of logarithms to calculate

Click here to see answer by stanbon(26259) About Me 

Question 96441: 9(3y-6)=6
Click here to see answer by checkley71(8405) About Me 
Question 96441: 9(3y-6)=6
Click here to see answer by stanbon(26259) About Me 
Question 96441: 9(3y-6)=6
Click here to see answer by edjones(3292) About Me 

Question 96800: Graphs of Exponential and Logarithmic Functions

Plot the graphs of the following functions.
f(x)=6x
f(x)=3x - 2
f(x)=(1/2)x
f(x)= log2x

Click here to see answer by checkley71(8405) About Me 

Question 98517: i need help with this... Solve simultaneously:
,
what ive got so far is : , and

Click here to see answer by stanbon(26259) About Me 

Question 98613This question is from textbook Calculus with Applications Brief Version
: I'm having trouble solving for 'x' in the equation I have tried turning it into a log, so I can solve for the approximate answer on a calculator, but I can't figure out how to get the 'x' out of the exponent on each side. Can you help me?This question is from textbook Calculus with Applications Brief Version

Click here to see answer by Nate(3495) About Me 
Question 98613This question is from textbook Calculus with Applications Brief Version
: I'm having trouble solving for 'x' in the equation I have tried turning it into a log, so I can solve for the approximate answer on a calculator, but I can't figure out how to get the 'x' out of the exponent on each side. Can you help me?This question is from textbook Calculus with Applications Brief Version

Click here to see answer by stanbon(26259) About Me 

Question 99151: calculate the antilog of 2.75
Click here to see answer by Adam(63) About Me 

Question 99620: How do I solve for t (time ) in the following equation. This is from a college physics book
y = initial velocity x time + 1/2 (acceleration) time ^2

-1.69 m = (1094 m/s )t + 1/2 ( -9.8 m/s^2 ) t ^2

Click here to see answer by Adam(63) About Me 

Question 79363This question is from textbook
: 3 square root square root 8
simplify
This question is from textbook

Click here to see answer by edjones(3292) About Me 

Question 100123: Write the following number in scientific notation: 0.0000000372
Click here to see answer by checkley71(8405) About Me 

Question 100124: What is the following in regular notation:
8.1 x 10^4

Click here to see answer by checkley71(8405) About Me 

Question 100122: The area of any triangle is A = (½) * (base) * (height), where height is the perpendicular height from the apex (point on top) to the base line. If the height of a certain triangle is 7 feet longer than its base, what is the polynomial that represents its area? (Let X = the base.)
Click here to see answer by checkley71(8405) About Me 

Question 100121: A rectangle has an area of X^3 – 6X^2 + 15X – 28 square feet. Its width is X – 4 feet.

Click here to see answer by AlgebraII(1) About Me 

Question 100125: A certain kind of bacteria has a growth constant of 0.04 (with respect to hrs). If you start out with 120 grams, how much will you have after 7 hrs?
Click here to see answer by checkley71(8405) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340