SOLUTION: use log base 4 of 3 = .7925 and log base 4 of 5= 1.1610 to approximate the value of the expression log base 4 of 18. i was wondering how exactly to do this?

Algebra.Com
Question 733170: use log base 4 of 3 = .7925 and log base 4 of 5= 1.1610 to approximate the value of the expression log base 4 of 18. i was wondering how exactly to do this?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
use log base 4 of 3 = .7925 and log base 4 of 5= 1.1610 to approximate the value of the expression log base 4 of 18. i was wondering how exactly to do this?
--------------
18 = 3*3*2
log(18) = 2*log(3) + log(2)
2 = sqrt(4) --> log(2) = 1/2
--------------------

= 2.085

RELATED QUESTIONS

use log base 5 of 2=0.4307 and log base 5 of 3=0.6826 to approximate the value of log... (answered by MathLover1)
Find the exact value of (log base 2 of 3)(log base 3 of 4)(log base 4 of 5)...(log base n (answered by Fombitz)
use log base 10 5=0.6990 and log base 10 7=.8451 to approximate the value of each... (answered by stanbon)
Write in terms of the NATURAL LOG. (ln) 1. log (base 4)x 2. log (base 10) (x+1) 3. log (answered by solver91311,jsmallt9)
If log(base 2) (1/4)=log(base 8) x, what is the value of x? (answered by Alan3354)
use log(4)3 is about 0.7925 and log(4)4 is about 1 to approximate the value of the... (answered by stanbon)
I need to evaluate the following expressions: log of base 5 (0.008) and log of (answered by stanbon)
Write expression as a single logarithm and find the value of the expression 1/4... (answered by lwsshak3)
write the expression (log base of b)(2y+5)-4(log base of b)(y+3) as a single... (answered by Theo)