Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 878788: I need help with this problem:
log(x-7) - log(8x-50) = log(1/x)
I need the exact solution and a two decimal place approximation when appropriate.
The book says that the answer is 10 but I'm not arriving at that answer when doing the problem.
Thank you!
Click here to see answer by ewatrrr(24785)   |
Question 878789: Could someone help me with this problem?
log(x^2+6) - log(x+1) = 2 + log(x-1)
The book says that the answer is the sqrt (106/99) or approximately 1.03
I need to know the steps in completing this problems so I can learn how to do it for the test.
Thank you.
Click here to see answer by josgarithmetic(39618) |
Question 881776: Good evening,
I am trying to solve this particular problem 3^x=25. I started off with doing the whole process of log base of 3 (25)=x, but I get stuck after I turn 25 into its exponential form and I do not know what to do with 3^x. Someone please help me on this topic. Thank you in advance.
Click here to see answer by jim_thompson5910(35256) |
Question 882866: I have the exponential function P(x)=8(3)^x. I need to first explain and show how to convert it into a logarithmic function, and then I need to explain and show how to convert it into a base 10 logarithmic function. I'm very confused and need help please!
Click here to see answer by josmiceli(19441)  |
Question 883431: Im trying to find an equation/formula that will work with the following data set.
I looks like an exponential decay set but the rate of decay is not constant. Any ideas? Thank you in advance! :) info@fernandosirio.com
total sq ft total price
1 $8.57
2 $11.42
3 $14.28
4 $17.14
5 $19.99
6 $22.85
7 $25.70
8 $28.56
9 $31.42
10 $34.27
11 $37.13
12 $39.98
13 $42.84
14 $45.70
15 $48.55
16 $51.41
17 $54.26
18 $57.12
19 $59.98
20 $62.83
21 $65.69
22 $68.54
23 $71.40
24 $74.26
25 $77.11
26 $79.97
27 $82.82
28 $85.68
29 $88.54
30 $91.39
31 $94.25
32 $97.10
33 $99.96
34 $102.82
35 $105.67
36 $108.53
37 $111.38
38 $114.24
39 $117.10
40 $119.95
41 $122.81
42 $125.66
43 $128.52
44 $131.38
45 $134.23
46 $137.09
47 $139.94
48 $142.80
49 $145.66
50 148.51
Click here to see answer by Fombitz(32388)  |
Question 884530: The table below shows a person's bank account balance for 5 years.
Year
1998 1999 2000 2001 2002 2003
Balance ($)
9,000.00 9,270.00 9,548.10 9,834.54 10,129.58 10,433.47
a) Find an exponential model for this data, with t = 0 corresponding to 1998
B(t) =
b) Find this person's balance in 2010 if it continues to grow at the same rate
$
c) Estimate the year in which this person's account balance will reach $27000
I'm not sure where to begin this problem. I think I need it in the format B(t)= x^t but I'm not sure.
Click here to see answer by Fombitz(32388) |
Question 884647: Hello!
I was wondering if anybody could help me solve this equation. I really don't quite understand it. I looked into my algebra 2 book online and I still didn't really grasp the concept, so can someone please help me. Thank you in advance.
The equation is 1n(x+6)-1n(x)=!n(4). Give an exact solution.
Click here to see answer by ewatrrr(24785) |
Question 884647: Hello!
I was wondering if anybody could help me solve this equation. I really don't quite understand it. I looked into my algebra 2 book online and I still didn't really grasp the concept, so can someone please help me. Thank you in advance.
The equation is 1n(x+6)-1n(x)=!n(4). Give an exact solution.
Click here to see answer by josmiceli(19441) |
Question 885736: two variable quantities x and y are related by equation y=a(b^x),whwre a and b are constant.When the graph is plotted showing values of ln y in vertical axis and the value of x on the horizontal axis the points lie on a straight line having gradient 1.8 and crossing the vertical axis at the point (0.4.1).Find the value of a and b
Click here to see answer by josgarithmetic(39618) |
Question 886564: Solve the following equation for x:
log2(x + 7) + log2(x + 8) = 1
Note: Be sure to plug any solutions back into the original equation; if they don't work (e.g., you're forced to take the logarithm of a negative number, which is not possible), discard that solution.
Click here to see answer by MathTherapy(10552)  |
Question 886723: Your friend hands you a graph of the engine power statistics of a race car. He says, “I know this graph is f(x) = –3(x + 4)6 – 8 but I can’t remember how it is related to the graph of x^4.” Explain to your friend how the graph f(x) is a translation of the graph x^4. Please help? How would I even start to hep y son answer this?
Click here to see answer by stanbon(75887) |
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