Question

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

Answer 1

the 3x-2 is small.

Answer 2

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

Answer 3

yup. but the 3x-2 is small

Answer 4

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

Answer 5

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

Answer 6

we can now expand and simplify and solve for x

Answer 7

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

Answer 8

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

Answer 9

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