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

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Question 308449: How long would it take to double your principal at an annual interest rate of 8% compounded continuously?
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Question 308521: how do you find exponential decay (half-life) word problems?
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Question 308708: approximate the number using a calculator
e^2.6=

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Question 308714: write the equation in its equivalent exponential form
8=log3m

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Question 308743: ln (x+3)-5=-2
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Question 308707: approximate the number using a calculator
6^2.2=
round to three decimal places

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Question 306924: How do you solve
log6 10

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Question 308789: I NEED HELP! I need to find out what the equivalent of the following problem is.
t=logsub3(5)
solve for 5=???
I need an equivalent equation to solve for 5= ...

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Question 308789: I NEED HELP! I need to find out what the equivalent of the following problem is.
t=logsub3(5)
solve for 5=???
I need an equivalent equation to solve for 5= ...

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Question 308796: e^x(6e^(3x-1))
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Question 308317: antilog(8.3010 - 10) =
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Question 308802: is f(x)=(-3/x+6) one to one?
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Question 308883: log%285%2C4%29+log%285%2C2x%29=log%285%2C24%29
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Question 309102: Write each logarithmic expressions in a single logrithm
log2+3log5

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Question 309109: Solve 2log4-log3+2logx-4=0.
a. 12.3308
b. 43.3013
c. 86.6025
d. 1875

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Question 309196: Did I do this right? (4/3)^-2=(3/4)^-2=(3*3)/(4*4)=9/16=-16/9 If I didn't can you explain what I did wrong and give me the right answer please?
Click here to see answer by ichudov(507) About Me 
Question 309196: Did I do this right? (4/3)^-2=(3/4)^-2=(3*3)/(4*4)=9/16=-16/9 If I didn't can you explain what I did wrong and give me the right answer please?
Click here to see answer by Alan3354(69443) About Me 

Question 309197: (2s^-1T^3/6s^2T^-4)^-3
(That's 2s to the negative 1,t to the negative 3 over
6s to squared T to the power of negative 4 in parentheses
and all of it to the power of negative 3). I believe by other examples ^ is used as an "exponent" or power to equation and ( / ) is the same as a fraction. Sorry if I'm wrong, I'm still somewhat new to algebra.com.

Click here to see answer by ichudov(507) About Me 

Question 309205: x + 2 divided by x = x-1 divided by 2
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Question 309207: x%2B2%2F%28x-3%29%2B%28x%2F5%29=%285%2F%28x-3%29%29
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Question 309237: solve this logarithm(x):
215 = 93*log*x

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Question 309262: log3 4x + log3 (x-4) = 2
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Question 310436: use the properties of logarithms to rewrite each logarithmic expression.
+log+3x%5E3y%5E2+
please help!~

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Question 310482: LOG 10 of 1x10 to the 4th power
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Question 310393: f(x)=x^2-1 and G(X)=5x, what is (F o G)(2)?
Click here to see answer by Fombitz(32388) About Me 

Question 310890: I am to factor the following equation completely 25r^2-64
25r^2-64
2(r^2-32) and then I am stuck...Help please

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Question 310896: solve the quadratic equation
x^2+2x-4=0
I get 1 & -3 however, when i plug them into the equation i get -1 for both solutions. Is there no solution to this equation?

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Question 310948: express log7 14+log7 171.5 as a single logarithm. simplify, if possible.
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Question 310966: ln(4-x)=11
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Question 310905: In a triangle which the length of one side is not given b=1, and c= square root of 17
a^2+b^2=C^2
a^2+1=sqrt of 17
17^2+1=sqrt of 17
290=sqrt of 17
17=17
is this correct?

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Question 310891: If exclusive, find P(S or T); P(S)=20% P(T)=22%
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Question 311049: Please help me solve this and show the work: Evaluate: +log%289%2C+243%29+
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Question 311491: factor completely
25s^2+49-70s
the answer I have is s(-5+7)^2
I am confused, please help.

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Question 311493: rewrite with positive exponents
(41xy)/^-9/10
I do not have a clue as to how to do this example

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Question 311457: Simplify by removing factors of 1
7r+7r/35r^2+49r
Help! totally lost!

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Question 311523: how do you solve a problem like this:
One pipe can fill a reservoir 1 hr faster than another pipe. Together they can fill the reservoir in 4 hrs. How long to the nearest tenth of an hour does it take the faster pipe to fill the reservoir by itself?

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Question 311554: 2^2x/1=8
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Question 311578: log2(x-1)+log2(x+10=3
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Question 311598: Use the change of base formula to evaluate log%282%2C17%29
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Question 311829: 6^-x=0.2
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Question 311997: 10log(x)-7 log(y)+5 log(z)
I keep getting: log%28%28%28x%5E10%29%2F%28y%5E7z%5E5%29%29%29
But this is wrong, why?

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Question 312209: y=log(x+6)
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Question 312209: y=log(x+6)
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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

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Question 313024: Rewrite as an equivalent logarithmic equation:
2^-5=(1/32)

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