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 604738: Evaluate the following expression. Round your answer to two decimal places.
log[8] e
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Question 604786: Solve the equation for x. Round your answer to two decimal places, and do not include 'x' in answer?
6*4^x=99
Click here to see answer by bucky(2189)

Question 604745: Evaluate the following expression.
e^ln 2
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Question 604905: Solve the equation for x. Round your answer to two decimal places, and do not include "x=" in your answer.
3*e^x=42
Click here to see answer by jim_thompson5910(28699)

Question 604917: e^x x e^3x=4
Can you help me figure this out? My math teacher didn't explain it fully.
Thanks for your help!
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Question 604916: e^9 Times e^3x =4
Please help!
Click here to see answer by flame8855(424)

Question 605449: The natural logarithm function
write in exponential form
ln 1/e^2= -2
the example I have been trying to use is log base b a=n is rewritten as b^n=a
I can't tell in this problem if the e that is squared is the one that is the base.
if not then substituting I would get
e^-2= 1/e^2
is this the answer or can I do more to it?
Thank you

Click here to see answer by lwsshak3(6751)

Question 605473: Solve the equation for x. Round your answer to two decimal places, and do not include 'x' in answer

3 * e^x=42
Click here to see answer by Alan3354(31505)

Question 605470: Solve the equation for x. Round your answer to two decimal places, and do not include 'x' in answer

3 * e^x=42
Click here to see answer by Alan3354(31505)

Question 605563: Ok so the question is, "Solve the following logarithmic equation."
the brackets [] = the base or b
log[5](x+3) = 4 - log[5](x+123)
log[5](x+3)(x+123) = 4
product rule above
exponential form below
5^4 = (x+3)(x+123)
625 = x^2 + 126x + 369
0 = x^2 + 126x - 256
I am stuck here and could use help getting the zeroes.

Click here to see answer by solver91311(17070)

Question 605561: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer.
8+5*lnx-22.6=0
Solving logarithmic equations~
Click here to see answer by Alan3354(31505)

Question 605610: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer.

ln x=4.9
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Question 605684: Write the following expression as a sum and/or difference of logarithms
log((cube root x^2+1)/(x^2-1))
Click here to see answer by lawdej(58)

Question 606063: I know this shouldn't be hard, we are doing a study sheet for a test and can't get past the second problem.
simplify each logarithm (a calculator should not be needed)
log base (1/3) 9 so this is 1/3^x equals 9
if I use the change of base formula I get -.5 or 1/2 but when I try to work 1/3^(1/2) I don't get 9
what am I doing wrong, and I can't use a calculator anyway so how do I do this without the change of base formula?
thank you
Click here to see answer by jim_thompson5910(28699)

Question 606080: simplify
this one is hard to write but it looks like
4^log base4 x
i think you take the 4(the 4 that is in front) and put it above the x.
then it would be log base 4 x^4
do you put the 4 equal to the x or the way I did it above?
Thank you
Click here to see answer by stanbon(57953)

Question 606102: use a calculator to find x
log x= -3.345
10^-3.345=x
-.524396
is this right?
Thank you
Click here to see answer by stanbon(57953)

Question 606498: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer.?
ln x =4.1
Click here to see answer by stanbon(57953)

Question 606700: ln(3)-2(ln(4)+ln8) Can you show me HOW to do this?
Click here to see answer by ewatrrr(10682)

Question 606700: ln(3)-2(ln(4)+ln8) Can you show me HOW to do this?
Click here to see answer by lawdej(58)

Question 606738: Factor completely.
80c^2+200cd+125d^2=
I have tried so many times to get this right, and for the life of me I can't get it right. Any help is appreciated.
Thanks
Click here to see answer by Alan3354(31505)

Question 606754: please help me solve this equation. log(7x+1)=log(x-2)+1

Click here to see answer by bucky(2189)

Question 607022: Solve the equation for x. Round your answer to two decimal places, and do not include "x=" in your answer.
ln x=0.2
Click here to see answer by pahuja(2)

Question 607021: ln x=0.2
Click here to see answer by lynnlo(4169)

Question 607028:
Solve the equation for x. ROUND your answer to TWO DECIMAL PLACES, and do not include "x=" in your answer.
ln x=5.9
Click here to see answer by jim_thompson5910(28699)

Question 607161: Please help!I thought I had the correct answers, but I got them wrong.
find the intercepts and traces for the graph 7x + 3y-z = 42
x-intercept (I had 5,0,0) y-intercept ( I had 0,2,-1) z-intercept (I had 0,0,-1)
xy trace (I had 5,2,0) yz trace (I had (0,2,-1) xz trace (I had 5,0,1)

thank you so much!
Click here to see answer by jim_thompson5910(28699)

Question 607167: Please help with this! I need to solve this:
-2x + 19y + 8z = 27
x-3y -2z = 5
2x-9y-5z = -35

Thank you so much.
Click here to see answer by jim_thompson5910(28699)

Question 607176: Help!Is this a problem with no solution?
x + y + 2z = 7
2x + 2y + 4z = -6
x+y+2z = 1

Thanks so much!
Click here to see answer by jim_thompson5910(28699)

Question 607176: Help!Is this a problem with no solution?
x + y + 2z = 7
2x + 2y + 4z = -6
x+y+2z = 1

Thanks so much!
Click here to see answer by solver91311(17070)

Question 607172: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer.
14.4=8*ln x
Click here to see answer by lwsshak3(6751)

Question 607251: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer..

5+8*ln x=25.8
Click here to see answer by stanbon(57953)

Question 607251: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer..

5+8*ln x=25.8
Click here to see answer by jsmallt9(3296)

Question 607255: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer

2*ln x=5.6
Click here to see answer by stanbon(57953)

Question 607270: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer!
3*ln x=15
Click here to see answer by stanbon(57953)

Question 607277: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer.
ln x=0.4
Click here to see answer by Alan3354(31505)

Question 607380: The half-life of a certain radioactive material is 67 days. An initial amount of the material has a mass of 25 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 27 days. Round your answer to the nearest thousandth.
Click here to see answer by ewatrrr(10682)

Question 607367: THe topic might be a little off. my workbook says " Rational functions and their graphs".
Can you help me solve this question?
y=x+6 over x+4( i didnt know how to draw the division line).
Click here to see answer by ewatrrr(10682)

Question 607401: 1/3 log5 12x =2
Click here to see answer by lynnlo(4169)

Question 607399: Write a rule that could be used for the following table:
Points,
(0,4) (1,10) (2,25)
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Question 607419: Write in Exponential form;
Click here to see answer by Alan3354(31505)

Question 607426: Write in logarithmic form
Click here to see answer by ankor@dixie-net.com(15746)

Question 607259: Solve the equation for x. ROUND your answer to TWO DECIMAL places, and do not include "x=" in your answer
3*ln x=15
Click here to see answer by richard1234(5390)

Question 607544: logb5+logb3
Click here to see answer by nerdybill(7003)

Question 607736: Please help me solve this math problem: Graph the function.State the domain and range.
y=log3(x+1)
I have a scientific calculator and I forgot how to plug the numbers in when using log I would appreciate it if you can help me with that too thanks!
Click here to see answer by Alan3354(31505)

Question 607745: Evaluate 3(2)^
for ^=2.7
Click here to see answer by Alan3354(31505)

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