# Math Help - logarithms

1. ## logarithms

If loga b = 2 and loga c = 4, find the numeric value of the following two expressions: loga (log base a)

(a) loga(b^2 c^3) it's log base a, b squared, c cubed.

(b) logb(c) log base b, c

2. Originally Posted by rafaeli

If loga b = 2 and loga c = 4, find the numeric value of the following two expressions: loga (log base a)

(a) loga(b^2 c^3) it's log base a, b squared, c cubed.
This is the same as $\log_a(b^2)+\log_a(c^3)=2\log_ab+3\log_ac$

What do you think the answer is now?

(b) logb(c) log base b, c
I believe this is the same thing as $\frac{\log_ac}{\log_ab}$. So what do you think the answer is now?

--Chris

3. Originally Posted by Chris L T521
This is the same as $\log_a(b^2)+\log_a(c^3)=2\log_ab+3\log_ac$

What do you think the answer is now?

I believe this is the same thing as $\frac{\log_ac}{\log_ab}$. So what do you think the answer is now?

--Chris
thanks, so the first answer is 16? and the second i still don't get, the problem is logbC . .. . (log base b, c)