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 371008: M= 2/3 log 10^22.9 / 10^11.8
What are the steps that your calculator uses to find out the answer (witch is 7.4)
Click here to see answer by robertb(5830)

Question 371146: 150=[900X]^0.5
Click here to see answer by stanbon(75887)

Question 371828: Evaluate each expression for the given value. Show your work.
n = 2, r = 5, s = 6
solve the following problems:
1. 3s
2. 3nr
3. 170 - r
4. n + r - s
5. s*4+6
6. 7(r)*1
7. 20/r
8. (56s)+2

Click here to see answer by Fombitz(32388)

Question 371952: 1. Using a graphical utility and graph the exponential functions
y=4^x+1-2
x -2 -1 0 1 2
y 1.063 1.25 2 5 17
I am not sure if this is correct.
2. Using a graphical utility and graph the exponential function
s(t)= 2e^0.12t
t -2 -1 0 1 2
y 1.573 1.774 2 2.255 2.542

I am not sure if I did this the correct way I have the calculator model TI-30X

Click here to see answer by Fombitz(32388)

Question 371957: Use the one-to-one property to solve the equation for x
e^3x+2=e^3
3x+2=3
The answer is x=1/3
I thought you suppose to pull down the 3x+2
I am not sure how they came up with 1/3
2. complete the table to determine the balance A for P dollars invested at rate r for t years and compounded n times per year.
n 1 2 4 12 365 Continuous
A
P=$2500, r=3.5%, t=10 years
I am using my TI-30 calculator and I am not sure how to do it
Click here to see answer by Fombitz(32388)

Question 372104: Rt = r1r2/(r1+r2)
Rt is the total resistance and r1 and r2 are individual resistors. solve the above equation for r2. Dont put numbers into the equation to solve.

Click here to see answer by ankor@dixie-net.com(22740)

Question 372368: Factoring to solve equations
Solve:

Click here to see answer by stanbon(75887)

Question 372368: Factoring to solve equations
Solve:

Click here to see answer by mananth(16946)

Question 372337: In class we are learning how to work monomials and i dont understand it at all... Can you please help me!

i dont know if the ^3 goes to both problems or just the (xyz)?

Click here to see answer by neatmath(302)

Question 372457: 2^(2/3)x+1 - 3*2^(1/3)x - 20 = 0.
This would be read 2 to the (2/3)x+1[(2/3)x+1 is exponent], minus 3 times 2 to the (1/3)x [(1/3)x is exponent], minus 20 equals 0.
Click here to see answer by jsmallt9(3758)

Question 372984: How do I solve log(x-5)+log(x+3)=2?
Click here to see answer by robertb(5830)

Question 372986: How do I solve 10^(x+4)=5^(2x), step by step?
Click here to see answer by jim_thompson5910(35256)

Question 373067: suppose a population of bacteria in a petri dish has a doubling time of 7.5 hours, how long will it take for an initial population of 11500 bacteria to reach 32000? Round to the second decimal point.
Click here to see answer by amoresroy(361)

Question 373068: find the degree of homogeneous function if they are homogeneous? For functions which are homogeneous, verify that their derivatives are homogeneous of degree k - 1. Also, verify that Euler's Theorem holds.
(a) g(x) = x^2 - 8x^3
(b) h(x) = squrx
(c) k(x) = 4 - x^2
(d) d(x) = 8x^4
Click here to see answer by robertb(5830)

Question 373122: I don't even know where to start. The problem is log2^x = 1/3log2^27. Can you please show me step by step.
Click here to see answer by nerdybill(7384)

Question 373122: I don't even know where to start. The problem is log2^x = 1/3log2^27. Can you please show me step by step.
Click here to see answer by CharlesG2(834)

Question 373236: Express each expression as a simplified single logarithm
4log2
Click here to see answer by edjones(8007)

Question 373236: Express each expression as a simplified single logarithm
4log2
Click here to see answer by Fombitz(32388)

Question 373233: Express each expression as a simplified single logarithm
log6+log5-log2
Click here to see answer by nerdybill(7384)

Question 373237: Express each expression as a simplified single logarithm
-log1/6
Click here to see answer by edjones(8007)

Question 373234: Express each expression as a simplified single logarithm
logx-3logy
Click here to see answer by edjones(8007)

Question 373208: Express each expression as a simplified logarithm
log3+log4
Click here to see answer by Fombitz(32388)

Question 373179: solve the following equation by looking for a common base
100x-1 =10002x
Click here to see answer by Fombitz(32388)

Question 373219: Given log9 = .95 and log2 = .3, find the following using the logarithm properties
log8
Click here to see answer by Fombitz(32388)

Question 373226: Simplify using the logarithm properties
log4 3-log4 48
Click here to see answer by edjones(8007)

Question 373430: Evaluate the following given that f(x) = sqrt of x+1 , g(x) = x^2-2 , and h(x) = (1)/(2x+3) . . solve (g+h)(-2) . . any takers?
Click here to see answer by fractalier(6550)

Question 373481: Compute the following:
2^log_base2(3)
Click here to see answer by edjones(8007)

Question 373479: Compute the following:
log2 25*log3 4*log5 3
Click here to see answer by robertb(5830)

Question 373280: 1/2 log base a of (x+2) + 1/2 log base a of (x-2) = 2/3 log base a of 27
Click here to see answer by jsmallt9(3758)

Question 373211: Express each expression as a simplified logarithm
log3+log5+log2
Click here to see answer by rfadrogane(214)

Question 373940: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.
log5 62
Click here to see answer by Edwin McCravy(20059)

Question 373936: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.

Click here to see answer by Edwin McCravy(20059)

Question 373930: Solve the equation by making the bases the same on each side of the equation
9^x=27
Click here to see answer by Edwin McCravy(20059)

Question 373935: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.
9^2y=66
Click here to see answer by Alan3354(69443)

Question 373939: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.
log2 7
Click here to see answer by Fombitz(32388)

Question 373934: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.
8+10^x=908
Click here to see answer by Fombitz(32388)

Question 373932: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.
4^x=19
Click here to see answer by Fombitz(32388)

Question 373938: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.
log4 8
Click here to see answer by Earlsdon(6294)

Question 373931: Solve the equation by making the bases the same on each side of the equation
5^x=1/125
Click here to see answer by Earlsdon(6294)

Question 374193: solve x to 4 decimal places 5^x=4^(x+1)
Click here to see answer by rfadrogane(214)

Question 373926: Solve the the equation by changing the logarithm equation into exponential form
logx64=6
Click here to see answer by rfadrogane(214)

Question 374179: A radioactive substance decats by 5% every hour. Intially rhere are 500g of substance.
a. How many grams remain after 6 hours?
b. What is the half life substance?
c. How long will it take the 500g to decay to 200g?
Click here to see answer by robertb(5830)

Question 374584: Find the inverse of the logarithmic function f(x)=-ln(x-2).
Steps I've done so far:
1. f(x)=-ln(x-2)
2. y=-ln(x-2)
3. x=-ln(y-2)
What is the next step? I am not sure what to do with -ln.
My instructor said the answer is: y=e^-x+2 but I don't know how he gets the -x. I know ln also stands for e.
y=-e^x+2 makes more sense to me.
Click here to see answer by robertb(5830)

Question 374505: List the transformations, in order, for the following function:
f(x)=4-3^x-1
The first thing I did was rewrite the function: f(x)=-3^(x-1)+4
- Horizontally shifts 1 unit to the right (because of (x-1))
- Reflects about the x-axis (because of the negative in front of the 3)
- Vertically shifts 4 units up (because of the +4)
Is this correct?
Does the function vertically stretch by a factor of 3?
In my notes a compress/stretch is said to be: a > 1 then vertically stretches by factor of a
0 < a < 1 vertically compresses by factor of a
But the instructor walked us through this problem but did not mention anything about a vertical stretch or compression.
Click here to see answer by jsmallt9(3758)

Question 375232: e^x^2=9
Click here to see answer by Fombitz(32388)

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