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 375350: 500(1+0.675)^t
Click here to see answer by Fombitz(32388)

Question 375399: write an exponential equation y=ab^x whose graph passes through these points
(1,10), (2,25)
Click here to see answer by nerdybill(7384)

Question 375414: Express as equivalent expression that a single logarithm and if possible, simplify. (not sure how to subscript the 'a')

Click here to see answer by nerdybill(7384)

Question 375445: Solve

Click here to see answer by ewatrrr(24785)

Question 375439: I'm not really sure how to remove the coefficients in the following problem:
2*log2(x) - log2(10) = 3*log2(4)
Click here to see answer by Earlsdon(6294)

Question 375439: I'm not really sure how to remove the coefficients in the following problem:
2*log2(x) - log2(10) = 3*log2(4)
Click here to see answer by ewatrrr(24785)

Question 375415: express as equivalent expression that a single logarithm and if possible simplify ('a' should be in subscript)
loga(2x+1-)-loga(x^2-25)
Click here to see answer by Fombitz(32388)

Question 375588: log10(x2+36)=log10 100?
Click here to see answer by user_dude2008(1862)

Question 375848: Explain the differences between solving these two equations:
� log3(x - 1) = 4 and log3(x - 1) = log34

Click here to see answer by ewatrrr(24785)

Question 375847: for all non zero r,t,z values 12r5tz7 / -4rt5z3 =? please note that the numbers 5, 7, 5, and 3 are exponents to the letters
Click here to see answer by Fombitz(32388)

Question 375927: I need to find a solution (x,y) for the following set of numbers....
y=logbase2(x+1)
y=5-logbase2(x-3)
I dont know how to solve this one....
Click here to see answer by Alan3354(69443)

Question 375924: I need to find a solution (x,y) for the following set of numbers....
y=e^(4x)
y=e^(2x)+6
I found x to be ln6/2 but i am not sure if that is right....
Click here to see answer by user_dude2008(1862)

Question 375947: Determine the constants N(o) and K so that the graph y=N(o)e^(kt) passes through the points (2,3) and (8,24).
I dont even know how to start this problem... any help would be greatly appreciated!!
Click here to see answer by robertb(5830)

Question 375929: Find the points where y=-2x-2 intersects with parabola y=.5x^2
Click here to see answer by mananth(16946)

Question 375899: I am so appreciated for helping me out these questions:
1.(x-2)(x+3)^2 OVER x^4-13x^2+36.
2. If polynomial p(x)=2x^3 -3x^2-10 has exactly one real zero r, where -1<=r<=1, which following is true: A. -1 3. Which shows a portion of graph of y= y|-|-x|| ?
4. what is x if 3x^2-2+7=0 then (x- 1/3)^2= ?
5. If y=b^x and b>1, which one is true: A log y b=x. B. log b x=y. C. another answer
6. the radian measure of angle containing x degree is: A.Pi x/180 B. Pi x/ 180. C. other answer
7.If f(x)= x^2, when x>0 and c>1, then f(x^c)= ?
8 2log10x-log10y=?
9.for x#0, if f(x)3x^2 and g(x)=1/2, then f(g(x))= ?
10 3+i/2-i = ?
11. if cotx^0=1, then x=?
12. y=x+1 and xy=2 so what x?
14. If f(x)=3-2x and f^-1 denotes the inverse of f, then f^-1(o) is ?
15. what is the solution set of 2sin^2(x)-3sin(x)-2=0 where 0<=x<=2pi
Click here to see answer by Fombitz(32388)

Question 375897: I am so appreciated for helping me out these questions:
1.(x-2)(x+3)^2 OVER x^4-13x^2+36.
2. If polynomial p(x)=2x^3 -3x^2-10 has exactly one real zero r, where -1<=r<=1, which following is true: A. -1 3. Which shows a portion of graph of y= y|-|-x|| ?
4. what is x if 3x^2-2+7=0 then (x- 1/3)^2= ?
5. If y=b^x and b>1, which one is true: A log y b=x. B. log b x=y. C. another answer
6. the radian measure of angle containing x degree is: A.Pi x/180 B. Pi x/ 180. C. other answer
7.If f(x)= x^2, when x>0 and c>1, then f(x^c)= ?
8 2log10x-log10y=?
9.for x#0, if f(x)3x^2 and g(x)=1/2, then f(g(x))= ?
10 3+i/2-i = ?
11. if cotx^0=1, then x=?
12. y=x+1 and xy=2 so what x?
13. where defined tanx=?
14. If f(x)=3-2x and f^-1 denotes the inverse of f, then f^-1(o) is ?

Click here to see answer by Fombitz(32388)

Question 376127: How do you simplify (-3x) to the power of -2 using only positive exponents?
What is the slope of y=5/2?
How do you simplify with only positive exponents.... p to the power of 2 over p to the power of 6?

Click here to see answer by Fombitz(32388)

Question 376074: Pls help! If you can answer either one of them, I am so appreciated.
1.(x-2)(x+3)^2 / x^4-13x^2+36.
2. If polynomial p(x)=2x^3 -3x^2-10 has exactly one real zero r, -1<=r<=1, which following is true: A. -1<0 B. 0<1 or C.other answer?
3. what is a portion of graph of y= y|-|-x|| ? graph it.
4. what's X if 3x^2-2+7=0 then (x- 1/3)^2= ?
5. If y=b^x and b>1, which one is true: A log y b=x. B. log b x=y. C. other answer.
6. The radian measure of angle containing x degree is: A.Pi x/180 B. Pi x/ 180. C. other answer
7.If f(x)= x^2, when x>0 and c>1, then f(x^c)= ?
8 2log10x-log10y=?
9.for X# 0, if f(x)3x^2 and g(x)=1/2, then f(g(x))= ?
10 3+i/2-i = ?
11. If cotx^0=1, then x=?
12. Y=x+1 and x.y=2 so what x?
13. where can you defined tan X=?
14. If f(x)=3-2x and f^-1 denotes the inverse of f, then f^-1(o) is ?
15. What is the solution set of 2sin^2(x)-3sin(x)-2=0 where 0<=x<=2pi
Click here to see answer by Fombitz(32388)

Question 375796: Height of tsunami waves: when waves generated by tsunamis approach shore, the height of the waves gennerally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk.
Greens law tells us how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location of water depth d, then the new height h of the wave is given by h= HR^0.25, where R is the water depth ratio given by R=D/d.
A.) Calculate the height of a tsunami wave in water 25 feet deep if its height is a 3 feetat its point of orgin in water 15,000 feet deep.
B.) If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
Helpful hints:
a power function has a form of: f(x)= cx^k
Please help;)
Click here to see answer by ankor@dixie-net.com(22740)

Question 375830: Stopping an Oil Tanker: It has been shown that if an oil tanker stops its engines, then its velocity will decrease exponentially. Suppose that captin shuts off the engines when the speed of the tanker is 20 mph and one minute later the speed of the tanker is 18 mph. What is the speed of the tanker after one hour?
Click here to see answer by ankor@dixie-net.com(22740)

Question 376424: define 2^3^2 to be 2^(3^2). is 2^3^2 the same with 2^(3^2)?

Click here to see answer by Alan3354(69443)

Question 376798: Write 2^3=8 in logarithmic form.
Click here to see answer by Alan3354(69443)

Question 376799: solve for x. 2+3^x=6
Click here to see answer by Alan3354(69443)

Question 376785: Verify that 2i is a zero of P(x)= x^4-2x^3-11x^2-8x-60 Also find the remaining zeros.
Click here to see answer by jsmallt9(3758)

Question 376787: Factor to find all the real zeros of P(x)= 2x^3+5x^2-12x
Click here to see answer by jsmallt9(3758)

Question 377337: how to factor 16x^4-81
Click here to see answer by Fombitz(32388)

Question 377390: 3^4x-9 -5=32
Click here to see answer by Fombitz(32388)

Question 377449: The question says that one square metre measures 1m by 1m
It then asks for you to write 1m^2 in square millinetres as a product of powers and as a single power.
For the product of powers part, I wrote down 1^1 x 1^1= 1^2.
Click here to see answer by mananth(16946)

Question 377442: find the inverse of f(x)=1/2x^3-7
Click here to see answer by robertb(5830)

Question 377267: State the degree and leading coefficient of each polynomial in one variable. if it is not a polynomial in one variable, explain why.
Q1: (3x^2+1)(2x^2-9)
Q2: 1/5a^3-3/5a^2+4/5a
Click here to see answer by robertb(5830)

Question 377497: How do I simplify this and find x?
log4(x-4) + log4(x+2) = log7(49)
Click here to see answer by vasumathi(46)

Question 377502: Solve for x (do not evaluate w/a calculator please!)
2^(x+1) = 7^(2-3x)
Click here to see answer by Fombitz(32388)

Question 377568: solve the equation 5^x + 5^-x = 2 set y = 5^x
Click here to see answer by Fombitz(32388)

Question 377630: Evaluate
log8 4
Click here to see answer by Fombitz(32388)

Question 378165: The half-life of the radioactive element plutonium 239 is 25000 years. If 16 grams are present initally how much is left after 60000 years?
Click here to see answer by Fombitz(32388)

Question 378374: Write as a single logarithm
log6+log5-log2
Click here to see answer by Alan3354(69443)

Question 378374: Write as a single logarithm
log6+log5-log2
Click here to see answer by stanbon(75887)

Question 378305: Please help me solve this question: log_3(x-1)=1
Please help. Thank you!
Click here to see answer by stanbon(75887)

Question 378253: Please hep me solve this 2 questions:
1.If f(x)= x^2, when x>0 and c>1, then f(x^c)= ?
2. 2log10x-log10y=?
Thanks
Click here to see answer by stanbon(75887)

Question 378703: Please help me this problem. Thank you so much. Here is 23^(x) = 10^(-3x)
Click here to see answer by Alan3354(69443)

Question 378703: Please help me this problem. Thank you so much. Here is 23^(x) = 10^(-3x)
Click here to see answer by jim_thompson5910(35256)

Question 379082: Solve
log2(x-9)=4
Click here to see answer by Fombitz(32388)

Question 379082: Solve
log2(x-9)=4
Click here to see answer by ewatrrr(24785)

Question 379296: how can u write 1 in exponential form with base 10?
Click here to see answer by robertb(5830)

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