Replace the variables a and b with integers and solve for log a b = x by using the change of base formula. Show all work and use complete sentences to explain your steps in solving the logarithm you created.

Question

experimentx · Answer

use this relation http://upload.wikimedia.org/wikipedia/en/math/0/3/a/03a7c4f8461ee26493b9cf547a82e390.png

anonymous · Answer

i need to explain it tho

experimentx · Answer

you know the relation between log and exponential function?

anonymous · Answer

what wuld this equalX= log10(10)
......--------
......log10(30)

anonymous · Answer

log10 (10)
---------
log 10 (30)

experimentx · Answer

Let this be your exponential equaition
$$ b^{y} = x $$
Then we have relation
$$ \log_{b}{x} =y $$

anonymous · Answer

how do i solve that

experimentx · Answer

log is defined that way ---> inverse of a exponential relation

experimentx · Answer

can you put up your problem more clearly??

anonymous · Answer

thats what the teacher gave me

anonymous · Answer

$$\frac{\log_{10}(10)}{\log_{10}(30)}=\log_{30}(10)$$

experimentx · Answer

that solves it.