# Math Help - Logarithms - help please!

1. ## Logarithms - help please!

Log3x – log3 (x-5) = log3 A
Express A in terms of x.
Hence, solve the equation
Log3 x – log3 (x-5) = 1

Thank you so much.

2. every single 3 is a base, it just didn't show up.

3. Originally Posted by kayteee92
Log3x – log3 (x-5) = log3 A
Express A in terms of x.
Hence, solve the equation
Log3 x – log3 (x-5) = 1

Thank you so much.
Recall that $\log_a X - \log_a Y = \log_a \frac XY$

So that,

$\log_3 x - \log_3 (x - 5) = \log_3 A$

$\Rightarrow \log_3 \frac x{x - 5} = \log_3 A$

Now what?

4. oh okay, so next i did

A = x/x-5

and i crossed multiplied to get x = A(x-5)

but for the next part of the problem, i replaced this for x and now i am stuck.

5. Originally Posted by kayteee92
oh okay, so next i did

A = x/(x-5)
stop there. that is A in terms of x.

but for the next part of the problem, i replaced this for x and now i am stuck.