Question

Please Explain:
Solve for x in the nearest thousandth
log(x+2) - log 2x= 8

Answer 1

log properties
are you familiar with log properties ?

Answer 2

quotient rule\[\huge\rm log_b y - \log_b x = \log_b \frac{ x }{ y}\]
to condense you can change subtraction to division
product rule \[\huge\rm log_b x + \log_b y = \log_b( x \times y )\]
addition ----> multiplication

power rule \[\huge\rm log_b x^y = y \log_b x\]

Answer 3

so 1st step) condense log at left side

Answer 4

How would we do the first step? Are we isolating the x?

Answer 5

(I'm not too familiar with logs, but a problem like this will be on my final)

Answer 6

okay first step would be condense log
at left side
look at the log properties which one you should apply ?

Answer 7

don't worry log are easy :-) you will be fine

Answer 8

key: there is negative sign in your question so you can change that to what ?(according to the log properties )?

Answer 9

would it be the quotient rule?

Answer 10

yes right :-)