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 130854: A bank offers a savings bond with an interest rate of 8% per year compounded annually. How much money would an individual invest so that the value of the investment after 15 years is $7000?
Click here to see answer by checkley71(8403)

Question 131206: Find all real solutions to:
ln x + ln 2 = 3
Click here to see answer by stanbon(57219)

Question 131694: Hi I dont understand how to do this problem. The chapter is on exponential and logarithmic functions. the problem on writing an exponential function from two points on the functions graph.
Heres the question
Write an exponential function of the form y=ab^x that includes the given points. (1,2) (2,8)
Thanks alot
Click here to see answer by rapaljer(4667)

Question 131700: hey heres another problem i need help on. The chapter im on is called exponential and logarithmic functions. The problem is on writing an exponential function from 2 points on the functions graph.
heres the problem
Write an exponential function of the form y=ab^x that includes the given points: (-1, 2/9) (1,2)
Thanks
Click here to see answer by jim_thompson5910(28476)

Question 131707: log 2 + log x = log 3
log 2 + log x = 3
I'm so confused, how do I solve these?
Thanks

Click here to see answer by rapaljer(4667)

Question 131839: Please g(x)=log(x+2), graph it, equation for the vertical asymptote,x intercept in (x,y) form
Also the same things for g(x)=-log(x)
Thank you
Click here to see answer by stanbon(57219)

Question 132012: how can i solve
logX + logX + 1 = log12 ?
Click here to see answer by josmiceli(9649)

Question 132012: how can i solve
logX + logX + 1 = log12 ?
Click here to see answer by rapaljer(4667)

Question 132510: The directions say to use a property of logarithms to evaluate the expression. log base3(3x9)
The answer key in the book says the answer is 3, but I keep coming up with 5.725. Can you show me how to do this problem?
Click here to see answer by stanbon(57219)

Question 132712: how do i find the y intercept of 2^x??
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Question 132762: Can you help me plot the graph to the following functions?
1. f(x)=3^x-2
2. f(x)=log2x
Click here to see answer by josmiceli(9649)

Question 132811: the question is solve the exponential equation, round to 3 decimal places. question below
e^x = 18
Click here to see answer by scott8148(6628)

Question 133049: Give an example of an exponential function. Find this exponential function's inverse which will be a logarithmic function. Plot the graph of both the functions
Click here to see answer by stanbon(57219)

Question 133032: How do I express this problem as a single Logarithm?
Click here to see answer by solver91311(16868)

Question 133241: Write in exponential form
2^8 = 256
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Question 133240: Find the unknown
log10x = -3
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Question 133242: Randolf bought a high-end computer system for $4800. The system depreciates at the rate of 25% each year.
a) Determine an exponential function to model the value of the system over time. You might use a table of values with columns for years, the expression for calculation for that year, and the value on that year to help you in your derivation.
Click here to see answer by stanbon(57219)

Question 133243: The pH scale is a measure of acidity, which is related to the concentration of hydrogen ions in solution. The concentration of hydrogen ions is symbolized as [H+]. The equation for pH is: pH = -log[H+]. The pH range of human blood is between 7.35 and 7.45. Calculate this pH range in terms of [H+].
Click here to see answer by stanbon(57219)

Question 133247: log2(x - 3) = 4
Please show me the steps to get to the answer, which is x = 19
Appreciate it greatly
Click here to see answer by stanbon(57219)

Question 133249: Solve for x:10^x^2 - x = 100
Please show me the steps to get to the answer, which is x = -1 or 2
Cheers my friend
Click here to see answer by stanbon(57219)

Question 133252: Find the unknown in the equation log2 48 = log2(2^x+2 minus 2^x)
Please show me the steps to get to the answer, which is x = 4
Stanbon,, you are the man
Click here to see answer by stanbon(57219)

Question 133255: Use logs on both sides of the equation
9^28 - 9^27 / 8 = 3^x to find the unknown
Please show all steps
Stanbon for Math President!
Click here to see answer by stanbon(57219)

Question 133254: Find the unknown in the equation log 11 = log(10^z+4 plus 10^z+3)
What are the steps to get the answer z = -3?
Click here to see answer by stanbon(57219)

Question 133254: Find the unknown in the equation log 11 = log(10^z+4 plus 10^z+3)
What are the steps to get the answer z = -3?
Click here to see answer by vleith(2825)

Question 133258: Use logs on both sides of the equation
9^28 - 9^27 / 8 = 3^x to find the unknown
Please show all steps
The 8 is dividing (9^28 - 9^27)
Click here to see answer by vleith(2825)

Question 133258: Use logs on both sides of the equation
9^28 - 9^27 / 8 = 3^x to find the unknown
Please show all steps
The 8 is dividing (9^28 - 9^27)
Click here to see answer by jim_thompson5910(28476)

Question 133253: Log4260 = log4(4^x + 3 plus 4^x)
please note the 4 in the log 4260 is small and the 4 in the log4 is also small
HOw to get to the answer of x = 1?
Click here to see answer by vleith(2825)

Question 133248: log2(3x - 4) = 5
Please show me the steps to get to the answer, which is x = 12
Appreciate it greatly
Click here to see answer by vleith(2825)

Question 133261: Thanks Stanbon for answering but I was wondering if I could get different worded answers to this question
The pH scale is a measure of acidity, which is related to the concentration of hydrogen ions in solution. The concentration of hydrogen ions is symbolized as [H+]. The equation for pH is: pH = -log[H+]. The pH range of human blood is between 7.35 and 7.45. Calculate this pH range in terms of [H+].: The pH scale is a measure of acidity, which is related to the concentration of hydrogen ions in solution. The concentration of hydrogen ions is symbolized as [H+]. The equation for pH is: pH = -log[H+]. The pH range of human blood is between 7.35 and 7.45. Calculate this pH range in terms of [H+].

Click here to see answer by stanbon(57219)

Question 133246: Randolf bought a high-end computer system for $4800. The system depreciates at the rate of 25% each year.
a) was completed (thank you Stan!!) but I am having trouble with b now:)
b) Graph the function you derived in part (a)

Click here to see answer by stanbon(57219)

Question 133263: Solve for x:10^x to the power of 2 - x equals 100
Please show me steps to get the answer of x = -1 or 2
Click here to see answer by jim_thompson5910(28476)

Question 133288: Please solve with steps
8 = 2 to the power of x/3
Click here to see answer by solver91311(16868)

Question 133287: Please solve with steps
9 to the power of y/5 = 27
Click here to see answer by jim_thompson5910(28476)

Question 133286: Please solve with steps
1/2 = 2 to the power of a/3
Click here to see answer by jim_thompson5910(28476)

Question 133284: Please solve with steps
(3/2) to the power of m/2 = 4/9
Click here to see answer by jim_thompson5910(28476)

Question 133283: Please solve with steps
(3/2) to the power of m/2 = 4/9
Click here to see answer by jim_thompson5910(28476)

Question 133244: Use a table of values to graph f(x) and g(x)on the same set of axes. Graphs should be neatly labelled
a) f(x) = 3 to the power of x and g(x) = (1/3)to the power of x
Click here to see answer by solver91311(16868)

Question 133281: Please solve with steps
4 to the power of x divided by 4 = 1/8
Click here to see answer by jim_thompson5910(28476)

Question 133309: Please write the following, with steps, in logarithimic form
3^-2 = 1/9
Click here to see answer by stanbon(57219)

Question 133312: Please write the following with steps
Draw a graph of each function by first writing an equivalent exponential form and then making a table of values
I am only having trouble with writing an equivalent exponential form
y = loge(-x)
Click here to see answer by stanbon(57219)

Question 133313: Evaluate the expression with steps
b^logbx
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Question 133315: This questions gives me the jitters...
Solve using logs:2^2x+4 minus 2^2x =120
I know the answer but not the steps:(
Click here to see answer by stanbon(57219)

Question 133316: Use logs ( any base) to find the unknown:
3 to the power of x^2 minus 2x = 3 to the power of x-2 ( there are two answers please find both)
Click here to see answer by stanbon(57219)

Question 133317: Stanbon, this isnt a math question but how do I become smart like you and the other tutors? You seem to know how to get the answers with accuracy. How can I do this for my upcoming quiz?
Click here to see answer by stanbon(57219)

Question 133314: Evaluate the expression with steps
2^log2 3
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