Pre/Calc Math Help

[Alvin719]

I have no clue why I got these problems wrong for math. I thought they were very easy and got ended up a D on the quiz. I got high B's and A's on everything else, why does this chapter so weird?

1)Evaluate log(base)3 times 27√3?

answer is 4/3
thought it was 7/2

2) What is 8^pi=X in logarithmic form?

answer is log (subscript)8 of pi= x
I thought it was just log (superscript)8 times x =pi

Thanks Guys!

[QuantumModulus]

You seem like you know what you're doing...are you sure your source isn't mistaken?

1. If the question is meaning to ask for log(base a) of 27√3 -- which is not the same as "log(base 3) times 27√3" -- then yes, you are correct; it is 7/2.

2. For 8^π = x, put it in the general form from which the logarithm is defined, and you'll get log(base 8) of x = π. Both of your answers are correct to me! I have no idea why you'd be getting anything else from your book.

[Alvin719]

Originally Posted by QuantumModulus

You seem like you know what you're doing...are you sure your source isn't mistaken?

1. If the question is meaning to ask for log(base a) of 27√3 -- which is not the same as "log(base 3) times 27√3" -- then yes, you are correct; it is 7/2.

2. For 8^π = x, put it in the general form from which the logarithm is defined, and you'll get log(base 8) of x = π. Both of your answers are correct to me! I have no idea why you'd be getting anything else from your book.

No it said log base 3, did I do it wrong?
For the second one I'll ask my teacher since you did it right too


Also another question if you want to check:
Which is equal to log x if..

x=
(superscript 4)√ab
__________________
c

The answer is=
log a + 1/4 log b
_____________
c

I thought it was 1/4(log a+log b) - log c

I don't know I have a bad teacher anyways >.>

[QuantumModulus]

Sorry, for my response to the first one I did mean "log (base 3) of 27√3". My main issue was that you said "times", which implies multiplication (which is incorrect), but you clearly understand the actual meaning because you're doing the problems correctly!

Your answer is correct; I worry far, far more about your teacher. Nothing to worry about.

[Alvin719]

Ok thank you, I'll have to check with my teacher. Hope she doesn't yell at me like she does to other students (*we took notes on this! Did you not listen!?!.!? Ok then I won't help you guys in the future* )