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 596845: (e^2)^5=e^180
Question asks to use change of base formula to solve problem.
Click here to see answer by jsmallt9(3758)

Question 597170: I'm doing homework and I wasn't able to get to class because I was out of town. I have the worksheet, it tells me to Use the CHANGE OF BASE formula to evaluate the following.
Log2 (10)=x
Log12 (1243)=x
Most of the problems are like this. I looked at examples online, but none of the examples are set up like this.
What I have been doing is just setting the problem up differently for example Log2 (10)=x would be 10=2^x and I'm really really confused. I need help. Please someone respond.
Thanks
Click here to see answer by stanbon(75887)

Question 597238: Hello, how would I solve a log fuction that is a exponent of a number.. example would be 10^log5 Log base is 10, Thanks in advance!
Click here to see answer by Alan3354(69443)

Question 597813: 9ln(7x)=45
Click here to see answer by jim_thompson5910(35256)

Question 597833: ln/x+7=1

Click here to see answer by Alan3354(69443)

Question 597832: What is the x-intercept of the function y = log2 (x − 5)?
Click here to see answer by Alan3354(69443)

Question 597836: lnx=10
Click here to see answer by Alan3354(69443)

Question 598007: help me solve f(x)=(1/4)^x Domain/Range/Horiz Asymptote
Click here to see answer by lwsshak3(11628)

Question 598044: Please help me solve f(x)= -2(3)^x +1 and how do u graph this? Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 598308: Please help me find where I made the mistake on an exponential equation. I tried to solve it and my result is 68=Y

Click here to see answer by richard1234(7193)

Question 598308: Please help me find where I made the mistake on an exponential equation. I tried to solve it and my result is 68=Y

Click here to see answer by jsmallt9(3758)

Question 597881: can you show me the steps to finding out the answer to log5 125?
Click here to see answer by richard1234(7193)

Question 598645: Iodine-131 is used to find leaks in water pipes. It has a half life of 8.14 days. Write the exponential decay function for a 200 mg sample. Find the amount of Iodine 131 remaining after 72 days.

Click here to see answer by stanbon(75887)

Question 598803: Use the properties of lagarithms eo expand: log[7]7x^2y^3/z.
Need some help on this one. Thanks.
Click here to see answer by Earlsdon(6294)

Question 598857: solve for x:
1) 8^5X = 4
2)125^2x+9 =1/5

please help me with these 2 problems I have for math. I am struggling to get by.
Thankyou for your time and effort.
Click here to see answer by math-vortex(648)

Question 599344: Find the missing x or b
a. log(2)x=2
b. log(b)4=2/3
Click here to see answer by ankor@dixie-net.com(22740)

Question 599344: Find the missing x or b
a. log(2)x=2
b. log(b)4=2/3
Click here to see answer by Earlsdon(6294)

Question 599353: At what annual rate compounded continously will $1000 have to be invested to amount to $2,500 in 10 years?
Click here to see answer by stanbon(75887)

Question 599359: how do I get the solution to the problem db = 20log 17/0.03 using my calculator? it keeps on showing up a SINTAX ERROR. Thank you
Click here to see answer by stanbon(75887)

Question 599373: Evaluate to 4 decimal places
a. log691,450
b. log(9)78
Click here to see answer by Alan3354(69443)

Question 599772: log7(3-4x)=log7(x/3)
Click here to see answer by stanbon(75887)

Question 599767: (log x)^2=log x^2
Click here to see answer by stanbon(75887)

Question 600038: sovle for x: 2^(x+1) = 9^x
Click here to see answer by nerdybill(7384)

Question 600170: Log(2.4x10^-6)=
Determine the value of the expression.
Question off homework assenment please help with the answer .
Click here to see answer by Alan3354(69443)

Question 600393: (3y)^-1/2=6
if I square both sides and make 3y a fraction I get
1/3y=36
one over 3y equals 36
Now I am not sure what to do.
do I take both sides by 3y and get 1=108y
then 1/y=108?
How do I get y to not be a fraction?
Thank you!
Click here to see answer by mananth(16946)

Question 600584: which grows faster as x increases, x^3 of 3^x? Explain with examples.
Click here to see answer by jim_thompson5910(35256)

Question 600711: Please Rewrite The Equation In Exponential Form.
Click here to see answer by jim_thompson5910(35256)

Question 600735: Evaluate the expression below at t=2, P=$400, and r= -7%. Round your answer to two decimal places. Do not include units in your answer. A(t)= P*e^rt
Click here to see answer by jim_thompson5910(35256)

Question 601276: You bought a used car for $18,000. The value of the car will be less each year because of depreciation. The car depreciates (loses value) at the rate of 12% per year.
a. Write an exponential decay model to represent this situation.
b. Estimate the value of your car in 8 years.

Click here to see answer by flame8855(424)

Question 601694: Please help me solve and round to the nearest hundredth.
Click here to see answer by stanbon(75887)

Question 601948: For what values of b will F(x)=log^bx be a decreasing function
B>0
0 0>b>-1
b<0
Click here to see answer by Alan3354(69443)

Question 602006: 2^1-x = 32^x+1
Click here to see answer by Alan3354(69443)

Question 602107: The domain of F(x)=log[b]x is the set of all real numbers. True or false?
Click here to see answer by stanbon(75887)

Question 602112: which answer represents the domain of the logarithmic function given below? f(x)=log7x?
A. x>=0 B. x<0 C. x>0 D. All real numbers
Click here to see answer by jim_thompson5910(35256)

Question 602115: The x-intercept of f(x)=log6x is
Click here to see answer by stanbon(75887)

Question 602115: The x-intercept of f(x)=log6x is
Click here to see answer by jim_thompson5910(35256)

Question 602121: The function of f(x)=log2x is decreasing? true or false? thinking its false.
Click here to see answer by jim_thompson5910(35256)

Question 602137: Which facts are true for the graph of the function below? Check all that apply. F(x)=log6X
A.The range is y>0. B.The y-intercept is (0,6). C.The x-intercept is (1,0). D. It is decreasing. E. It is increasing. F.The domain is x>6.
Click here to see answer by stanbon(75887)

Question 602330: expand the following log[6x^2y/Z^3}
Click here to see answer by lawdej(58)

Question 602310: At the beginning of an experiment, a culture contains 1000 bacteria . Five hours later, there are 7600 bacteria. Assuming that the bacteria grow exponentially, how many bacteria will there be after 24 hours?
Click here to see answer by nerdybill(7384)

Question 602419: logx + log(x-3)=1
can you help me find the answer to this question so that i can have a better understanding of what logarithms are?
Click here to see answer by solver91311(24713)

Question 602424: 2log[5](7)-log[5](x+3)=2
Click here to see answer by ewatrrr(24785)

Question 602502: I am trying to help my son with his algebra 2 and I don't understand these problems!

(2^sqrt2)^sqrt2

Thank you
Click here to see answer by ewatrrr(24785)

Question 602511: 4^1-x = 8
1-x is all a power
I think I need to make 8 a 4 somehow and then 1-x= whatever I do to 8 to make it 4.
I am not sure how to do this though.
Click here to see answer by jim_thompson5910(35256)

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