Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 630539: I can't find any examples of logarithmic functions that have another number before the logarithm. I have to find the domain, x-intercept, and y-intercept for the following problem:
y=+4log+%283%2C+%28x%2B17%29%29+%29+
So far I have domain: x>17 y-intercept: (0,-16) and I can't find x-intercept.
Are these right, and how do I work out the x-intercept?
Thanks :)

Click here to see answer by ewatrrr(10682) About Me 
Question 630539: I can't find any examples of logarithmic functions that have another number before the logarithm. I have to find the domain, x-intercept, and y-intercept for the following problem:
y=+4log+%283%2C+%28x%2B17%29%29+%29+
So far I have domain: x>17 y-intercept: (0,-16) and I can't find x-intercept.
Are these right, and how do I work out the x-intercept?
Thanks :)

Click here to see answer by Edwin McCravy(8999) About Me 

Question 630639: How long does it take for $1000 to double if it is invested at 3% interest compounded monthly?
Click here to see answer by nerdybill(7011) About Me 

Question 630651: What's the solution for log64 1/4=x?
Click here to see answer by jsmallt9(3296) About Me 

Question 630931: Write the expression as a single logarithm with a coefficient of 1. Assume all variable expressions represent positive real numbers.
log(x + 1) + 4 log x

Click here to see answer by stanbon(57984) About Me 

Question 630964: Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places) log8 (70)
Click here to see answer by Alan3354(31538) About Me 

Question 631064: how to express log1024 in terms of A, B and C, letting log2=a, log3=b and log 5=c?
Click here to see answer by stanbon(57984) About Me 

Question 631073: Letting log2=a, log3=b and log5=c, how do i express:
1. log2/3 in terms of a, b, and c
2. log5/3 in terms of a, b and c
3. log8/3........... in terms of A B and C?

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

Question 631133: how do i determine the value of these expreesiomh without using a calculator:
1. logbase7 7^(48)
2. logbase(11) (cube root of 11)^7
3. log0.0000001
4. 10^log3.4

Click here to see answer by ewatrrr(10682) About Me 

Question 631206: how do you solve 2^x=x+3 algebraically?
Click here to see answer by Alan3354(31538) About Me 

Question 631287: proof that log10 =1
Click here to see answer by solver91311(17077) About Me 

Question 631238: how can i solve log[base8](x+5)-log[base8](x-2)=1?
Click here to see answer by jsmallt9(3296) About Me 

Question 631416: 1/2 log(x)-log(10000)= 4
Click here to see answer by ewatrrr(10682) About Me 

Question 631503: Log3(x)=-2
Click here to see answer by jim_thompson5910(28717) About Me 
Question 631503: Log3(x)=-2
Click here to see answer by Tatiana_Stebko(1326) About Me 

Question 631619: How do I write this as a single logarithm?
2(log x - log y)
I put 2log x/y But I'm not sure

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

Question 631667: Solve the equation.
1) 4 ^x = 9 ^(1 - x)

Click here to see answer by nerdybill(7011) About Me 

Question 631666: logbase4 0= ??
Click here to see answer by nerdybill(7011) About Me 

Question 631793: 10 the power of * equals 0.024
Click here to see answer by ewatrrr(10682) About Me 

Question 631831: ln(x+9)+ln(7x)
Click here to see answer by jim_thompson5910(28717) About Me 

Question 632113: what is log base x of 7= -2
Click here to see answer by stanbon(57984) About Me 

Question 632238: if log 2=p and log 3=q express the following logarithms in terms of p and q
1. log b 108=

Click here to see answer by Tatiana_Stebko(1326) About Me 
Question 632238: if log 2=p and log 3=q express the following logarithms in terms of p and q
1. log b 108=

Click here to see answer by lwsshak3(6770) About Me 

Question 632337: how do i solve 6log(4)0.5 without the use of a calculator

Click here to see answer by stanbon(57984) About Me 

Question 632394: The points A (1,5) B (4, -1) & C (-2, -4) forms triangle ABC. Prove that the triangle is right angle and find its area
Click here to see answer by reviewermath(605) About Me 

Question 632448: Write the expression in terms of common logarithms, and then give a calculator approximation.
log9(77)

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

Question 632453: Write the expression in terms of common logarithms, and then give a calculator approximation
log8 (74)=

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

Question 632486: Form a polynomial f(x) with real coefficients having the given degree and zeros. Expand into
standard form
Degree 3: zeros: 1 + i and -8

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

Question 632485: The function f is one-to-one. Find its inverse. State the domain and range of both the function
and the inverse function.
13) f(x) = sqrt (x + 4) - 5.
f-1(x) =

Click here to see answer by Tatiana_Stebko(1326) About Me 

Question 632898: find the value of 0.356*200*4*0.7using logarithms?
Click here to see answer by Theo(3504) About Me 

Question 632961: Find the number of decibels for the power of the sound. Round to the nearest decibel.
A rock concert, 5.37 10^-6 watts/cm2

Click here to see answer by Theo(3504) About Me 

Question 633103: log base x(5)=3

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

Question 633304: 3^x^2*3^4=3^-5x
Click here to see answer by Alan3354(31538) About Me 

Question 633311: 5^2x+4*5^x-5=0
Click here to see answer by stanbon(57984) About Me 

Question 633316: (4)/(2+3^x)=1
Click here to see answer by jsmallt9(3296) About Me 

Question 633298: express without an exponent logsuba^x^4
Click here to see answer by jsmallt9(3296) About Me 

Question 633354: Greetings I am having trouble with a log problem to solve for X
in logx32=5/3
I thought I must change into exponential form and get x^5/3 =2^5
and then go into log form to get
3/5logx=5log2 and then I am lost.
please help?

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

Question 633373: dy/dx=ytanx
Click here to see answer by solver91311(17077) About Me 

Question 633392: Hi, pleas help me solve this problem:
Use logarithms to solve the equation symbolically
ln x + ln x^2 = 5

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

Question 633478: logbase3(logbaseX(logbase416))=-1
I thought perhaps I must simply just add (which multiplies) so i took it out of the brackets.
I was getting
logbase3 +logbaseX +logbase4 4^2 <-fours cancel out right?
Then I got logbase3 +logbase X +2=-1
then log base3 +log base X=-3
Then I am lost.
Please help?

Click here to see answer by stanbon(57984) About Me 

Question 633359: How do I write the following expression as a single logarithm?
3loga-logb-1%2F2logc
thank you

Click here to see answer by KMST(1936) About Me 

Question 633487: Im having difficulty with solving the following logarithim for X
6^(2log base6 X + log base6 X) = 125

I thought the log base of 6 would cancel out and I would get
x^2 + X =5^3
but what do I do with that 6? add it to get X^2 + X +6 =125?
please help thank you

Click here to see answer by lwsshak3(6770) About Me 

Question 633549: write log subscript 3 (5x sqrt y divided by z^3) as a sum, difference, or multiple of single logarithms

log[3](5x√(y))/(z^(3))

Click here to see answer by ewatrrr(10682) About Me 

Question 633547: write 1/2[lnx+ln(x+2)]-2ln(x-5)as a single logarithmic expression
Click here to see answer by jsmallt9(3296) About Me 

Question 633521: Rewrite th expression as a single logarithm.
log(3)5+5log(3)2

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

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