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 311578: log2(x-1)+log2(x+10=3
Click here to see answer by nerdybill(6951)

Question 311598: Use the change of base formula to evaluate
Click here to see answer by Edwin McCravy(8883)

Question 311829: 6^-x=0.2
Click here to see answer by Alan3354(30983)

Question 311997: 10log(x)-7 log(y)+5 log(z)
I keep getting:
But this is wrong, why?
Click here to see answer by Edwin McCravy(8883)

Question 312209: y=log(x+6)
Click here to see answer by solver91311(16872)

Question 312209: y=log(x+6)
Click here to see answer by nyc_function(2733)

Question 312603: okay i can't remember what this is called but here is the problem i need to solve:
find(f0g)(x) for f(x)= 3x^2 and g(x)=5-x
Click here to see answer by scott8148(6628)

Question 313024: Rewrite as an equivalent logarithmic equation:
2^-5=(1/32)
Click here to see answer by Alan3354(30983)

Question 313646: What is 5(3+4)/35+12/4
7+{20-(7+6)}
9+{13(2)-(3-12)}
12/2-{6-(7(3))}
Click here to see answer by checkley77(12569)

Question 313689: How long will it take for prices in the economy to double at a 7% annual inflation rate? Use the exponential growth rate model P(t) = Poe^k^t.
Click here to see answer by rapaljer(4667)

Question 313685: /describe a health care situation that can be described using a logarithmic function or an exponential function. present the function.
Click here to see answer by stanbon(57262)

Question 314039: Can someone please help me with this: I need to show my work on it but I'm not sure what to do.
Add: (-8x4 + 3x6 - 8) + (-6x6 - 6 + 3x4).
Click here to see answer by Fombitz(13828)

Question 314189: divide (x^3-3x^2-3)/(x-2)
Click here to see answer by Fombitz(13828)

Question 314190: Divide: (9y + 18 – 11y2 + 12y3)/ (4y + 3)

Click here to see answer by Fombitz(13828)

Question 314245: Use product rule to simplify the expression.
(-5)^6 x (-5)^6
Write in Exponential form.
Help is appreciated!
Click here to see answer by Jstrasner(106)

Question 314254: Multiply and Simplify
3^6 x 3^5
write in expoentntial expression
is the answer 3^11?
Click here to see answer by Fombitz(13828)

Question 314292: solve log x +log(X-4)= log 5
Click here to see answer by Fombitz(13828)

Question 314513: The number of acres in a landfill is given by the function
B = 6900e^-0.02t ,
where t is measured in years. How many acres will the landfill have after 10 years?
Click here to see answer by nerdybill(6951)

Question 314730: describe the effect of different values of a on the function y=ab^x
Click here to see answer by Fombitz(13828)

Question 314794: put into logarithmic form. 4^x+1=8
Click here to see answer by nerdybill(6951)

Question 314902: please can someone help. i feel as though i am never going to get this problem solved. it is involving the following:
evaluate the logarithmic equation for the values of x that are greater than 1, and at x=1
show work and use resulting pairs to plot graph...show graph.
i got it with the other one but keep messing up with the log ones.

y=log2x (2 is on the lower part of the g)
thanks for the help.
Click here to see answer by solver91311(16872)

Question 315081: state the domain and range of the function
g(x)=In x +2
Click here to see answer by Fombitz(13828)

Question 315275: As a fraction:
Using the Quotient Rule for Radicals Simplify the following Radical:
a Fraction:
Square root sign over 4t^2/Square root sign over 24t^4
Click here to see answer by Fombitz(13828)

Question 315277: Evaluate the following radical
8^2/3
Click here to see answer by user_dude2008(1861)

Question 315278: Evaluate the following Radical 16^-3/4
Click here to see answer by user_dude2008(1861)

Question 315266: evaluate the exponential equation for three positive values of x, three negative values of x and at x=0; transform the second expression into the equivalent lagarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. show your work. use the resulting ordered pairs to plot the graph of each function;
y= 2^x+2
x= 4^y+2

Click here to see answer by ankor@dixie-net.com(15641)

Question 315374: A laptop computer is purchased for $1500. Its value each year is about 80% of its value in the preceding year. Its value in dollars after t years is given by the exponential function
v(t) = 1500(0.8)^t.
a) After what amount of time will the computer's value be $900?
b) After what amount of time will the computer's value be half the original value?
Click here to see answer by josmiceli(9662)

Question 315612: how can I solve log 3 (x- 1)?
Click here to see answer by stanbon(57262)

Question 315632: Students in a biology class just took a final exam.
A formula for predicting the average exam grade
on a similar test t months later is
a) Find the students’ average score when they first
took the final exam. [12.7]
b) What would the expected average score be on a
retest after 4 months? [12.7]
S(t) = 78 - 15 LOG (t + 1)
Click here to see answer by stanbon(57262)

Question 315910: Factor: 20x^5 - 12x^4 + 16x^3 + 12x^2 please show work
Click here to see answer by Earlsdon(6287)

Question 315949: Divide: (4x² + 23x – 6) ÷ (4x - 1)
please show work
Click here to see answer by Edwin McCravy(8883)

Question 316394: 1500=500e^0.11t
how do i get t ?
Click here to see answer by Alan3354(30983)

Question 316428: simplify 4a3b2 divide by 2b
Click here to see answer by Fombitz(13828)

Question 316503: If (8^a)(8^b)=8^c/8^d what is d in terms of a,b,c?
Click here to see answer by Fombitz(13828)

Question 316934: simplify. (3x)^-1/3
Click here to see answer by nyc_function(2733)

Question 317114: 2x-1 write with positive exponents
Click here to see answer by Fombitz(13828)

Question 317236: Please Show Work:
Add
8/x+9 + 5/x-9
Click here to see answer by Fombitz(13828)

Question 317239: Please Show work:
Subtract:
4/6(x-1) - 3/6(x-1)
would this be 1/6(x-1)? (4-1)/6(x-1)
or could it simply be 1 because 6(x-1) cancels out...?
or is it something completely different?
Click here to see answer by Fombitz(13828)

Question 317342: The cube root of four to the six y power

Click here to see answer by Edwin McCravy(8883)

Question 317241: Find the product please show work:
6p^2+14p+15/p^2-6p+p * p^2-3p/25-9p^2
Click here to see answer by Fombitz(13828)

Question 317468: please show work:
x+7/x^2+x-56 - x+8/x^2-49
Click here to see answer by Fombitz(13828)

Question 317470: find the product (please show work)
3p^2+14p+1/p^2-6p+9 * p^2-3p/25-9p^2
Click here to see answer by Fombitz(13828)

Question 317814: I don't believe I'm doing this one right and would like someone to walk through it with me to get the right answer.
Question:
(x-5)^2=11
Here's my work
5^2=25
6^2=36
36-25=11
Is that right or is there a different answer all together?
Click here to see answer by jim_thompson5910(28510)

Question 318007: Solve for :
Log (x^2)= 3
4
and also simplify
Log 8
4
_________
Log 1000
Click here to see answer by peion(1)

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