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 281914: What is greater, e%5Epi or pi%5Ee. Thanks a lot
Click here to see answer by Alan3354(30993) About Me 

Question 282076: 4logx=-2
Click here to see answer by solver91311(16897) About Me 

Question 282113: 48-y=log%2810%2C8%29
How do I rewrite as an equivalent exponential equation???

Click here to see answer by Edwin McCravy(8909) About Me 

Question 281944: if f(x) = ln%285x%5E2+%2B1%29%5E3, then the derivative of f evaluated at x=1 equals:
a) 2 b) 4 c) 5 d) 6
My guess is D (6). I graphed the function. I used my table command with the change in x being .1 Then I found the value of the function at 1.9 and 2.1 Since the derivative represents the slope at a particular x-value, I found the slope around 2. The slope was 5.9595, which is close to 6.
I tried to take the derivative of this function, but I got lost. Here's what I tried:
ln%285x%5E2%2B1%29%5E3
=1%2F%285x%5E2+%2B1%29%5E3+%2A+3%285x%5E2%2B1%29%5E2%2810x%29
=30x%2F%285x%5E2+%2B1%29 then the functional value at 1 is 30/6 = 5.

Click here to see answer by jsmallt9(3296) About Me 

Question 282352: 2x+(x+2)y=540 what is x and what is y
Click here to see answer by richwmiller(9143) About Me 

Question 282496: (6xy)^-8/9
Rewrite with positive exponents.

Click here to see answer by user_dude2008(1861) About Me 

Question 282077: 4log%28e%2Cx%29=-2
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Question 282967: John invests $27,500 at 4.75% interest compounded semi-annually. How many years will it take for him to earn $2000 in INTEREST?
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Question 282966: Aaron has inherited $250,000 from his aunt. He invests all of this amount at a rate of 5.25% compounded quarterly. How many years will it take for this amount to grow to $300,000?
Click here to see answer by jsmallt9(3296) About Me 

Question 283117: A 5000g sample of Iodine-131 decayed into 312.5 grams in 2.025 days. What is the half-life of Iodine-131?
Click here to see answer by Greenfinch(383) About Me 

Question 283481: log4(x+2)=-2
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Question 283578: Please help me solve this exponential equation. It must be expressed in terms of natural logarithms. I also need to know the decimal epproximation for the solution. The problem is:
+4%5E%283x%2B2%29=7%5E%28x-3%29+

Click here to see answer by vleith(2825) About Me 
Question 283578: Please help me solve this exponential equation. It must be expressed in terms of natural logarithms. I also need to know the decimal epproximation for the solution. The problem is:
+4%5E%283x%2B2%29=7%5E%28x-3%29+

Click here to see answer by user_dude2008(1861) About Me 

Question 283551: What is the answer to
3y^(-1/2) = 6

Click here to see answer by checkley77(12569) About Me 

Question 283550: What is the answer to
3y^(-1/2) = 6

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Question 283705: 6^(log6)3
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Question 283710: 6^(log6)3
Click here to see answer by stanbon(57387) About Me 

Question 283661: log y=0.2 log x+0.8
Click here to see answer by Alan3354(30993) About Me 

Question 284011: How do I solve 7^2x=30
Click here to see answer by nerdybill(6962) About Me 
Question 284011: How do I solve 7^2x=30
Click here to see answer by solver91311(16897) About Me 

Question 284317: simplify (3x)^-1/3 how do i do this. thanks
Click here to see answer by dabanfield(803) About Me 

Question 284389: y³-5y²=0
Click here to see answer by richwmiller(9143) About Me 

Question 284471: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Please help me identify a situation, event, context, etc., that can be describe via either an exponential function or logarithmic function. Present the function. Who does it serve. Consider the practical application of exponential and logarithmic function within the context of health care. Thank you so much.

Click here to see answer by solver91311(16897) About Me 

Question 284540: Write in terms of the NATURAL LOG. (ln)
1. log (base 4)x
2. log (base 10) (x+1)
3. log (base 5) x^4

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Question 284540: Write in terms of the NATURAL LOG. (ln)
1. log (base 4)x
2. log (base 10) (x+1)
3. log (base 5) x^4

Click here to see answer by jsmallt9(3296) About Me 

Question 285144: write in exponential form and simplify 3sqrta times 5sqrta the 3 and 5 are small just outside the root symbol. please help i have no idea how to do this.
Click here to see answer by jsmallt9(3296) About Me 

Question 285060: how do you evaluate the logarithm (5/3)to the power of -3
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Question 285468: Solve 2log4-log3+2logx=4
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Question 285384: 25%5Ex=1%2F5
Click here to see answer by jsmallt9(3296) About Me 

Question 285143: solve this equation 2x^-1/2=8. is th answer +-2 . thanks
Click here to see answer by jsmallt9(3296) About Me 

Question 285657: Can you show me an example from real life where you would want to use a logarithmic equation?
Click here to see answer by stanbon(57387) About Me 

Question 285722: Hi, my question is actually regarding Evaluating and Graphing Polynomial Functions, but there was not option for that.
My question is: Is f(x)=x^4(square root of 5)-x a function?

Click here to see answer by richwmiller(9143) About Me 

Question 286165: i need to verify F and G are inverse functions

f(x)= 3-x ; g(x)= 3-x

Click here to see answer by jim_thompson5910(28598) About Me 

Question 286163: i need to verify f and g are inverse functions

f(x)= X^5 ; g(x)= 5 sqr of x

Click here to see answer by edjones(7569) About Me 

Question 286369: i am asked to put in exponential form and simplify cuberoot x^2y please help
Click here to see answer by josmiceli(9697) About Me 

Question 286368: i must write in exponential form and simplify cuberoot x^5y^5. please help if possible. thanks
Click here to see answer by jim_thompson5910(28598) About Me 

Question 286430: i am supposed to write in logorithmic form 1/2^4=1/16 please help if possible i dont understand
Click here to see answer by jim_thompson5910(28598) About Me 

Question 286434: i must solve for x logx32=5 how do you do this the x is little
Click here to see answer by jim_thompson5910(28598) About Me 

Question 286482: i must express this as a single logorithm or expression log2(5) +log2(8) please help
Click here to see answer by jim_thompson5910(28598) About Me 
Question 286482: i must express this as a single logorithm or expression log2(5) +log2(8) please help
Click here to see answer by stanbon(57387) About Me 

Question 286484: simplify -x^2y^2/x^1/2y^0 i have no idea how to do this. help please
Click here to see answer by texttutoring(324) About Me 

Question 286515: express as a single log or expression 3log10(6) help please
Click here to see answer by stanbon(57387) About Me 

Question 286612: I need help, please factor 98x^2 – 162
Click here to see answer by josmiceli(9697) About Me 

Question 286781: give the logorithm of the following log(1000)^1/2 please help thanks
Click here to see answer by stanbon(57387) About Me 

Question 286721: I need to know if Log(3)/LOG(4) = Log(3/4)
If not, what does it equal

Click here to see answer by nyc_function(2733) About Me 

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