Posted by **fishbowl** on Saturday, August 9, 2008 at 11:33am.

simplify the expression

2log(4)9-log(2)3

*(base)

i know the answer is log(2)3 but i can't figure out the work to get that answer

- Math -
**drwls**, Saturday, August 9, 2008 at 1:30pm
Use the rules for changing the base of a logarithm at

http://oakroadsystems.com/math/loglaws.htm#NewBase

It says that

log(a)x = log(b)x/log(b)a

In your case, use it to show that

log(4)9 = log(2)3^2/log(2)4

= 2log(2)3/log(2)4 = log(2)3 !!

Therefore 2log(4)9 = 2 log(2)3

Subtracting 2log(2)3 from that leaves you with log(2)3

- Math (correction) -
**drwls**, Saturday, August 9, 2008 at 1:32pm
The last line should read:

Subtracting log(2)3 from 2log(2)3 leaves you with log(2)3

## Answer This Question

## Related Questions

- Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...
- math(Please help) - 1) use the properties of logarithms to simplify the ...
- Algebra 2 - -Explain the difference between log base b (mn) and ( log base b of ...
- Econ math/logarithms - If log with base b (2)=0.39 and log with base b (3)=0.61 ...
- algebra 2 logs and trig - log(base 2)cotx - 2log(base 4)csc2x = log(base 2)cosx ...
- LOGARITHMS - HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT ...
- precalc - Solve: round to the thousandths if necessary! 1) 4^3/4x+5 = 12 2) log(...
- Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...
- Math - these are some problems i do not get any help is appreciated. These are ...
- Calculus - Please help simplify this expression: 2 log (base 4) ^9 - log (base 2...

More Related Questions