What is the solution to the equation
log3^x – log3^2 = 2

Question

What is the solution to the equation 
log3^x – log3^2 = 2

anonymous · Answer

Is it log base 10?

zepp · Answer

$\large \log3^x-log3^2=2$

Logarithm super properties

$\large \log3^{x\div 2}=2$

anonymous · Answer

im not sure its either 3 or 10. the question isnt clear

zepp · Answer

Write it as exponential form
$\large 3^2 = x \div 2$
Can you take it from there?

anonymous · Answer

answer are x=9/4 x=4/3 x=18 and x=12

anonymous · Answer

don't think so

zepp · Answer

$3^2=x \div 2$
$9 = x\div 2$
$x = 2*9$

zepp · Answer

Owait, in fact

zepp · Answer

$(x \div 2)log3 =2$

zepp · Answer

Should be like this

anonymous · Answer

thats x/2 right?

zepp · Answer

Then $\large \log3 = \frac{2}{(x \div 2)}$

dumbcow · Answer

um is this log base 3 we are talking about ?
$$\log_{3} x - \log_{3}2 = 2 $$
OR
$$\log (3^{x})-\log(3^{2}) = 2$$

dumbcow · Answer

based on answer choices, im assuming base 3
then zepp is correct , x = 18

zepp · Answer

$\large \log3 = \frac{4}{x}$

I can't get a rational answer with exponent :(

anonymous · Answer

its cool its only worth 3 points but thanks for the help. appreciate it

anonymous · Answer

dumbcow · Answer

hello? what base is the log

anonymous · Answer

either 10 or 3. the teacher sorta sucks, why im asking here instead of doing it on my own

dumbcow · Answer

it has nothing to do with the teacher...on your paper or book how is it written, is the 3 a subscript or not ?

anonymous · Answer

agreed, the teacher now days are overpaid and underworked

anonymous · Answer

log 3 x – log 3 2 = 2
thats how it looks

dumbcow · Answer

teachers overpaid ??
 are you crazy

dumbcow · Answer

not in USA

dumbcow · Answer

anyway
looks like base 3

--> x = 18

anonymous · Answer

yup thats what zepp said

zepp · Answer

I'm awesome. :D