What is the solution of log3x − 2 125 = 3?

Question

anonymous · Answer

the 3x-2 is small.

anonymous · Answer

$$\log(3x-2) +125=3?$$

anonymous · Answer

yup. but the 3x-2 is small

anonymous · Answer

$$\log_{3x-2}125=3 $$ like this?

anonymous · Answer

This is quite simple. That is the same as writing $$(3x-2)^{3}=125$$

anonymous · Answer

we can now expand and simplify and solve for x

anonymous · Answer

actually a more efficient way of doing this is by taking the cube root of both sides$$3x-2=5$$
$$x=\frac{ 7 }{ 3 }$$

chealyn98 · Answer

http://openstudy.com/study#/updates/4fb5a42ce4b05565342b8846

anonymous · Answer

Thanks! I have another question though:
The frog population at a lake doubles every week. The population can be modeled by f(x) = 15(2)x and f(6) = 960. What does the 6 represent?

 The population after six weeks
 The starting population
 The rate the population increases
 The number of weeks that have passed