Question

Which of the following is a solution to the equation log 4 x + log 4 (x – 3) = 1 ?
i got x=6/5 am i right??

Answer 1

@seesawn

Answer 2

@Blacksteel

Answer 3

@DarkFairyTale

Answer 4

@jh

Answer 5

How did you manage that result?

Answer 6

i have no idea

Answer 7

Well, if you've truly no idea, then your answer is not correct. Please demonstrate your knowledge of logarithm properties.

Answer 8

my choices are confusing
a.6/5
b.2
c.-3
d.4
i know that log properties are where you graph a linear function and it is the inverse of an exponential function

Answer 9

We're not really concerned about function definitions on this one. The task is to solve the equation.

Here's a property: log(a) + log(b) = log(a*b)

You can use this property to begin your voyage toward a solution.

Answer 10

so i plug in the numbers for the eqquation?

Answer 11

haha that was a bit misleading...its multiple choice and you said it as if you were checking an answer when really you just guessed option A ...lol

Answer 12

might as well be honest and say i did guess because i was clueless on this one

Answer 13

There is no such thing as "plug in". I suppose you could rely on checking given answers by simply substituting them, but this will not help you learn to solve such problems completely.

Use that property I gave you and rewrite the original equation.

Answer 14

they need to stop with multiple choice so students learn to actually apply math skills and not just eliminate wrong answers by guessing and checking :{

Answer 15

yeah my dad says the same thing

Answer 16

it makes it easier to grade though...hence the abundance of standardized tests...ughh

Answer 17

Will we be chatting or will the OP use the log properties?

Answer 18

anyway, use this property from @tkhunny
Here's a property: log(a) + log(b) = log(a*b)

Answer 19

oh i just remembered how to do this the logs cancel out because they are the same and i just solve (x-3)=1, so i just add 3 tyo both sides and i get 4 for my answer?

Answer 20

I hope you do not remember that, because it makes no sense.

Answer 21

haha @cowgirlworld what you are thinking of is:
\[\log_{4}(x-3) = \log_{4} 1 \]
the logs cancel because same base and they are set equal to each other
not the case for posted question though

Answer 22

but is 4 the correct answer

Answer 23

Please stop guessing. Use the property: log(a) + log(b) = log(a*b). Show your algebra skills, not your dart-throwing skills.