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 253960: How do you factor 12v^2-25v-7?
Click here to see answer by dabanfield(803)

Question 254452: i need to simplify the expression -6a^-3b^6/3a^3b^7
Click here to see answer by palanisamy(496)

Question 254452: i need to simplify the expression -6a^-3b^6/3a^3b^7
Click here to see answer by richwmiller(17219)

Question 254454: i need to simplify the expression (x^8y^-8/x^2y^-2)^1/2 i tried to solve it on my own but fractional exponents really throw me off...=/
Click here to see answer by richwmiller(17219)

Question 254779: solve for x
2 to the power of x + 5 = 3 to the power of x
I know the answer is x=2....but I cant prove it.
Click here to see answer by stanbon(75887)

Question 254778: solve for x
2 to the power of x + 5 = 3 to the power of x
I know the answer is x=2....but I cant prove it.
Click here to see answer by Fombitz(32388)

Question 255027: Hi :)
I�m new to logarithms and not sure if I�m on the right track with this one. Hoping you can help?... thanks heaps
log₃x + log₃(x + 2) = 1 (find x)
My attempt:
> log₃((x )(x+2)) = 1
> log₃(x�+2x) = 1
> x� + 2x = 3�
> x� + 2x � 3 = 0
> (x - 1)(x + 3) = 0
> so x = +1 & -3
Is that right???
thanks again
Click here to see answer by nerdybill(7384)

Question 255028: I'm just wondering if it's possible to simplify this further or if I'm even on the right track...
3^x=15 (find x)
>x=log₃15
>x=log₃(3x5)
>x=log₃3 + log₃5
>x= 1 + log₃5
Thanks for your help :o)
Click here to see answer by Greenfinch(383)

Question 254990: solve 3x=log(12)25
Click here to see answer by Alan3354(69443)

Question 254743: rewrite each expression in the form a^n
a. a^8*a^-3
b. b^6/b^2
c. (c^4)^5
d. d^0/e^-3
Click here to see answer by Alan3354(69443)

Question 255520: (3^-2/4^-1)^2
Click here to see answer by edjones(8007)

Question 256084: solve 3^x=7^2 using both interpolation and logarithms.
Click here to see answer by richwmiller(17219)

Question 256084: solve 3^x=7^2 using both interpolation and logarithms.
Click here to see answer by stanbon(75887)

Question 256102: 4(2^x)+31(2^x)-8=0
Click here to see answer by jim_thompson5910(35256)

Question 256153: log sub2^(9t+5)-log sub2^(t^2-1)=2
any help would be greatly appreciated!!!
Click here to see answer by drk(1908)

Question 256170: can you help me solve 5^n-1 = 1/25
Click here to see answer by drk(1908)

Question 256170: can you help me solve 5^n-1 = 1/25
Click here to see answer by Edwin McCravy(20059)

Question 256161: use a scientific calculator to find the logarithm for each number rounded to the fourth decimal places.
#9) 600.6
and
#10) 0.189
i just got a new TI-89 calculator and am not completely sure where everything is, so any help would be appreciated!
Click here to see answer by Alan3354(69443)

Question 256200: please elp me solve this equation 2^4sqrt(2x)+6^4sqrt(2x)
Click here to see answer by drk(1908)

Question 256082: 2^(x+3y)= 128 and 2^(3x-y)=2
Click here to see answer by scott8148(6628)

Question 256324: please help me find of the inverse this equation
Click here to see answer by stanbon(75887)

Question 256861: Log2x+log2(x+2)=log2(x+6)
Click here to see answer by drk(1908)

Question 256861: Log2x+log2(x+2)=log2(x+6)
Click here to see answer by CharlesG2(834)

Question 256746: the fith root of 27 to the third power
Click here to see answer by Edwin McCravy(20059)

Question 256919: Log(x-3)=2
Click here to see answer by Fombitz(32388)

Question 256923: Logx64=2
Click here to see answer by scott8148(6628)

Question 256918: Log_4x-log_4(x-1)=1/2
Click here to see answer by Fombitz(32388)

Question 257532: 1. f(x)=8+x, g(x)=x-5, If d(x)=f(x)-g(x), find d(x)
2. Solve:
x^2 + 6x + 6 = 0
3. f(x) = e^2x
What is f(1/4)?
Thank you so much!!!!

Click here to see answer by jim_thompson5910(35256)

Question 258169: Hello,
Can someone please help me with this question?
What is the mathematical difference between a pH of 5.0 and a pH of roughly 4.0 - is it really that big of a difference?
Thank you for your help
Click here to see answer by richwmiller(17219)

Question 258174: Hello,
Can someone please help me with this question?
What is the mathematical difference between a pH of 5.0 and a pH of roughly 4.0 - is it really that big of a difference?
Thank you for your help
Click here to see answer by drk(1908)

Question 258260: Write in exponential notation:
�(7)(7)(7)(7)
Click here to see answer by belladonnatink(2)

Question 258260: Write in exponential notation:
�(7)(7)(7)(7)
Click here to see answer by Alan3354(69443)

Question 258469: I need help with this equation please! -X^2+4x+1. Thanks! Chad payne
Click here to see answer by Alan3354(69443)

Question 258460: expand the epression ln(5x/2)
condense the expression log4 3+3log4 2
Click here to see answer by edjones(8007)

Question 258412: How do you write (0,0.5) (1,3) as an exponential function?
Click here to see answer by jsmallt9(3758)

Question 258642: If log N = logx + 2log y-3. Then represents N in terms of x and y?
Click here to see answer by stanbon(75887)

Question 259028: Write a power function y = axb whose graph passes through (4, 3) and (8, 7).
Round all answers to two decimal places.
Click here to see answer by drk(1908)

Question 259053: A store sells motor scooters. The table shows the number y of scooters sold during the xth year that the store has been open.
Year, x 1 2 3 4 5 6 7
Number of scooters sold, y 15 20 25 36 59 71 92
dot Draw a scatter plot of the data pairs (x, ln y). Is an exponential model a good fit for the original data pairs (x, y)?
space
dot Find an exponential model for the original data. Round your answers to two decimal places.
y = (1.35)x
Click here to see answer by drk(1908)

Question 259288: How do I solve this problem? log27 1/3
Click here to see answer by Fombitz(32388)

Question 259582: root3(5m+2)=3
Click here to see answer by Fombitz(32388)

Question 259940: 10^x=1000. I know the answer, but I do not know how to solve it in steps.
Click here to see answer by richwmiller(17219)

Question 259940: 10^x=1000. I know the answer, but I do not know how to solve it in steps.
Click here to see answer by edjones(8007)

Question 261426: express as a single power,then evaluate. [ (-8)^4]^6 x[ (-8) ^-5]^7 divided by [ (-8)^4]^-3
i have an end result of 0 as =(-8)^1
i am not sure if i am correct.
Click here to see answer by stanbon(75887)

Question 261626: Solve for X
3^x = -2
Click here to see answer by unlockmath(1688)

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