Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)


Question 607736: Please help me solve this math problem: Graph the function.State the domain and range.
y=log3(x+1)
I have a scientific calculator and I forgot how to plug the numbers in when using log I would appreciate it if you can help me with that too thanks!

Click here to see answer by jim_thompson5910(28717) About Me 

Question 607813: logx+2-log2x-2=4
the two's are bases. its a log base 2 x+2 minus log base 2 x-2=4

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Question 607998: The attenuation of a 900 MHz mobile phone signal by a concrete wall reinforced with steel mesh is described by,
I(t)=1.2e^(-0.138t)
where t is the thickness of the wall in cm, and I(t) is the intensity
of signal, in mW/m2, measured on the interior of the wall.
(a) What is the signal intensity incident on the exterior of the
wall?
(a) Answer - I think is t=0
900=1.2e^1.2^-0.138*0
900=1.2*1
900/1.2=1.2*1/1.2
750=1
750/1=0
750
(b) If the wall is 25 cm thick, what intensity will be measured
inside? Round your answer to 2 decimal places.
(b) Answer - I think is
750=1.2e^-0.138*0.25
750=1.2e^-0.0345
750/1.2*0.966088=1.2*0.966088/1.2*0.966088
646.9389952
Approx =647

(c) What thickness of wall will drop the intensity to half of the
exterior value? Round your answer to 2 decimal places.
(c) Not sure a bit lost

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Question 607865: how do you graph the logarithmic equation y= 1/3^(x-1) ?
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Question 608504: Solve for x by factoring completely: x^4 - 1
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Question 608504: Solve for x by factoring completely: x^4 - 1
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Question 608532: I need help with the following problems:
1. 2log base 8 4- 1 over three log base 8 8
2. Log base 10 (b+3)+log base 10=log base 10 4
3. Log base 5 5^7
4. Log base x 7= 1 half

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Question 608967: given 3^8=6561
write the equivalent Logarithmic equation.

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Question 608966: Given f(x)=1800e^-2x , determine f(5).
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Question 608968: An investment of $20000 receives interest of 10.5 percent per year compounded continuously.what is the compound amount S if the investment is for a period of 25 years?How much Interest will be earned during this period?
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Question 609079: log(14x+45)-log 7=log 2-log x
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Question 609284: Solve 6 to the 6x power=31 round to the nearest thousandth
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Question 609304: Find the domain written in set-builder notation:
y=lnx

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Question 609363: At a certain school, the number of children entering kindergarten increased by 6.7% annually for 5 years then decreased by 4.2% annually in the next 5 years. If 110 children enrolled in kindergarten at the beginning of this period, how many were enrolled after 10 years?
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Question 609663: Solve 3%5E%288x%29=23
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Question 609688: Use the Change of Base Formula to solve 9%5E%282x%29=47
Round to the nearest ten-thousandth.

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Question 609688: Use the Change of Base Formula to solve 9%5E%282x%29=47
Round to the nearest ten-thousandth.

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Question 609971: Please help with this. "write the equation of the parabola in vertex form. V-Vertex, P-Point."
V(-2,4);P(3,-1)
Thank you so much!!

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Question 609969: Please help with this. "write the equation of the parabola in vertex form. V-Vertex, P-Point.
V(0,0); P(1,7)


Thank you for your help.

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Question 610187: factoring quadratics 2Xpower of 2=7X+4

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Question 610546: Solve 125%5E%289x-2%29=150
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Question 610818: log base2 (3)+log base 2 (x)= log base 2 (X+7)
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Question 611139: Solve for X, and just for real numbers
log(X+4)+log10(X-5)=1

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Question 611462: Write and exponential function y=ax^b for a graph that includes (2,-12) and (4,-48)
Click here to see answer by jsmallt9(3296) About Me 

Question 611825: Find the range of the function y = -2^x + 2.
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Question 612071: Solve: log(base 2) x - 2log(base2) (x-1) = 1
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Question 612539: Show that log(base p)q = (log(base q) p)^-1
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Question 612318: Find the maximum power of 91 for which 3*6*9*12....*228*231 is completely divisible?
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Question 612902: write an exponential equation whose graph passes through the given points
(1,5) (2,7)

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Question 612970: cube root (8^2x)=sqrt2^(4x-1)
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Question 613763: Hi! how would you solve something like: lnx+ln2=3, i condensed it down to ln2x=3 and i think that's right, but i'm not sure how to solve for x. Thank you so much!!! My test is tomorrow.
(ln is the natural log)

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Question 613765: Hi! How would you solve log base 2 of x + log base 2 of (x+3) = 2?
Thanks for your help!!!

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Question 614198: if +log%28+b%2C+x%29+=+6+ and +log%28+b%2C+y%29+=+2+ then solve +log%28+b%2C+%28x%5E2%29%2Fy%29+

Click here to see answer by scott8148(6628) About Me 
Question 614198: if +log%28+b%2C+x%29+=+6+ and +log%28+b%2C+y%29+=+2+ then solve +log%28+b%2C+%28x%5E2%29%2Fy%29+

Click here to see answer by lwsshak3(6764) About Me 
Question 614198: if +log%28+b%2C+x%29+=+6+ and +log%28+b%2C+y%29+=+2+ then solve +log%28+b%2C+%28x%5E2%29%2Fy%29+

Click here to see answer by Alan3354(31538) About Me 

Question 614548: Solve for x:+2%283%5Ex%29+=+7%285%5Ex%29+
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Question 614548: Solve for x:+2%283%5Ex%29+=+7%285%5Ex%29+
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Question 614548: Solve for x:+2%283%5Ex%29+=+7%285%5Ex%29+
Click here to see answer by lwsshak3(6764) About Me 

Question 614561: If +log%28%28x+%2B+y%29%2F5%29 = +log%28sqrt%28x%29%29%2B+log%28sqrt%28y%29%29+ where x and y are greater than 0, show that +x%5E2+%2B+y%5E2+=+23xy+
Click here to see answer by solver91311(17077) About Me 
Question 614561: If +log%28%28x+%2B+y%29%2F5%29 = +log%28sqrt%28x%29%29%2B+log%28sqrt%28y%29%29+ where x and y are greater than 0, show that +x%5E2+%2B+y%5E2+=+23xy+
Click here to see answer by lwsshak3(6764) About Me 

Question 614573: If +log+%28a%2C2%29+=+log%28b%2C8%29+, show that a^3 = b
Click here to see answer by scott8148(6628) About Me 

Question 614564: log4 (x+9)=2
logx 64=2
log2 8=x
2*5^x/4 = 250

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Question 614596: Find the solution of the exponential equation..
3^2x-1=5
7^x/2= 5^1-x

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Question 614647: Suppose a new car bought in 1988 for $14,675 depreciates 15% each year. Predict the car's value in 1995.
Thank you

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 614549: Solve for x, to 2 decimal places: +6%5E%283x%29+=+4%5E%282%2Ax-3%29+
Click here to see answer by jsmallt9(3296) About Me 

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