Posted by **Hannah** on Thursday, September 10, 2009 at 12:51pm.

Solve the equation algebraically. Round the result to three decimal places.

log4 x - log4(x-1) = 1/2

I have no idea how to do this. Please help!

- math -
**bobpursley**, Thursday, September 10, 2009 at 12:58pm
remember log a- log b= log(a/b)

so with that..

log4 (x/(x-1))=1/2

x/(x-1)= 16

then solve for x.

- math -
**Anonymous**, Friday, September 11, 2009 at 1:37pm
Greetings:

log_4[x] - log_4[x-1] = 1/2 implies log_4[x/(x-1)] = 1/2 which means that 4^(1/2) = x/(x-1) or, 2 = x/(x-1). I shall assume you can finish from there.

Regards,

Rich B.

## Answer This Question

## Related Questions

- Trig/Pre-Calc - Could someone please help me on this problem. I'm really ...
- Logarithms - Solve log4 x + log4(x-2)=log4(15) I know how do the example in my ...
- Algebra II - Solve, round to four decimal places if necessary: log4(x-9)=2 ...
- Algebra 2 - Simplify: 1. 2log10^5+log10^4 2. 2log3^6-log3^4 3. log4^40-log4^5 4...
- Math(Please check) - solve for x: log4 X - log4 2 = 2 log(2x) = 2 Now what do I ...
- Math - Evaluate the expression without using a calculator: log4(2)= ____? Use a ...
- Algebra II - Please check the following: Solve log4(m-3)+ log4(m+3) =2 Answer: 1...
- Math Algebra 2 - #4. Express the logarithm in terms of log2M and log2N: log2 1/...
- Math - solve for x: log4 X - log4 2 = 2 log(2x) = 2 Now what do I do?
- algebra - Solve the equation algebraically. Round the result to three decimal ...

More Related Questions