Solve for x. log(x) + log(x - 3) = 1 Please explain how you got the answer.

Question

nnesha · Answer

familiar with log rules ?

anonymous · Answer

No I forgot them. That's why I need help with this. Can you help me?

nnesha · Answer

quotient rule$$\large\rm log_b y - \log_b x =  \log_b \frac{ x }{ y}$$
to condense you can change subtraction  to division 
product rule $$\large\rm log_b x + \log_b y = \log_b( x \times y )$$
addition  ----> multiplication 

power rule $$\large\rm log_b x^y = y \log_b x$$

nnesha · Answer

so there is a plus sign which rule you should apply ?

anonymous · Answer

addition  ----> multiplication

anonymous · Answer

How do you know which number is b?

nnesha · Answer

yep so change addition to multiplication  
log is same so you can apply it

nnesha · Answer

b is base

nnesha · Answer

so log is same as log base 10 $$\huge\rm log = \log_{10}$$

anonymous · Answer

So is it log(x*(x-3))?

anonymous · Answer

Or log(x^2-3x)?

nnesha · Answer

yep right!!

anonymous · Answer

So what do you do with the 1?

nnesha · Answer

now you have $$\huge\rm log (x^2 -3x) =1$$
next step
convert log to exponential form

anonymous · Answer

How do you do that again?

nnesha · Answer

and here is the example |dw:1438129295617:dw|