Mike was working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation and how solving would be different if the bases were equal.
@shamil98 @kc_kennylau

Question

Mike was working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation and how solving would be different if the bases were equal.
@shamil98 @kc_kennylau

anonymous · Answer

@myininaya

anonymous · Answer

this question is so meta

anonymous · Answer

@Phaen what do you mean

anonymous · Answer

@Phaen

anonymous · Answer

you'll want to use logarithms but logs are my weakness >.<

I gotta read awhile to make sure I got my facts straight

anonymous · Answer

:/ thank you for helping I really need help. Tag someone you know that can help

anonymous · Answer

I'm trying to remember how to rewrite the exponential equation as a logarithmic one

anonymous · Answer

oh I think I can tell you hold up.

anonymous · Answer

$$ y = b^x$$

..............is equivalent to...............
(means the exact same thing as)
	
$$\log{b} (y) = x$$

anonymous · Answer

hmm but it also might want you to just take the log of both sides and simplify for x

sorry about being so hazy... just giving my initial ideas :)

the only thing I'm super confident about is that you'll need to use logs!

inkyvoyd · Answer

protip: take the log base 37 of both sides

inkyvoyd · Answer

you could also take the ln of both sides but that's for losers

anonymous · Answer

ok take the log of 37 then I would end up with? @inkyvoyd

inkyvoyd · Answer

x=log_37 12

inkyvoyd · Answer

then, use a change of base

inkyvoyd · Answer

$\Huge \log_a b=\frac{\log_d b}{log_d a}$ you can do anything for d. I usually go with the natural log ln or common log log_10

anonymous · Answer

So If i were to describe in words I would just say covert this equation to log for and then solve for d? @inkyvoyd

inkyvoyd · Answer

idk

inkyvoyd · Answer

someone else answer this, I'm feeling lazy :P

anonymous · Answer

@inkyvoyd plssssssssss help its getting late and I have to turn this in

inkyvoyd · Answer

To be honest, I get how to solve for x in here, but I havne't hte slightest idea how to answer this question.

inkyvoyd · Answer

@Confusionist , plz help plz thx

anonymous · Answer

@Confusionist plssssssssssss helppppppppp i beggg you

confusionist · Answer

I'm with you on this one, sir @inkyvoyd. I dont know how to answer this. >_>

anonymous · Answer

plsssssssssssssssssss @Confusionist

wolf1728 · Answer

Take logs of both sides (I can do this)

anonymous · Answer

omg omg yes yea

anonymous · Answer

x =LOG_37 12

wolf1728 · Answer

37^x = 12
log (37^x) = log (12)
The log of (37^x) equals 
x * log (37)
So now we have 
x * log (37) = log (12)
x = log (12) / log (37)
x = 1.079181246 / 1.5682017241
x = 0.6881648129

and that's that :-)

anonymous · Answer

Thank you

wolf1728 · Answer

u r welcome - wow lucky I came along huh?