Monday

March 30, 2015

March 30, 2015

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

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 1:30pmUse 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 1:32pmThe 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 ...

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 ...

Math - these are some problems i do not get any help is appreciated. These are ...

Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...

math - Logarithm!!! Select all of the following that are true statements: (a) ...

Math: Algebra2 Logarithms - Can someone help me find the value of B in this ...

college algebra - Write expression as one logarithm and simplify if appropriate...