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Note that a log is just an exponent.....for instance, if  I had the following....

log₄ 16    ....this is just asking us...."What power do I need to put on 4 to raise it to 16??"

And the answer is 2 because 4² = 16......so thinking "backwards"...we have

8 ⁴ = 4096      So to write this in log form, we have

Log₈ 4096 = 4    .....Note .....4 is the power that I put on 8 to raise it to 4096

Does that make sense???

For the log problems I'm trying to put it into the calculator but the answers are not coming out right. 

1)  Note that √9 = 9 ^1/2    ....so we have...

Log ₉ 9 ^1/2 .... and by a property of logs, we can bring the 1/2 in front of the expression..so...

1/2 Log ₉ 9 .....and  Log ₉ 9  = 1  ....so we have

1/2 * 1  = 1/2

How did you get 4 for the first answer?

OK...so we have

2x = 8/9

And we're trying to solve for x.....we've finished the "square root" part

What if I multiplied both sides by 1/2.....what would happen???

1)  log₈ 4096 = 4

2)  8² = 64

We need to take the tangent inverse for this...so we have

atan(12.7) = 85.497810507959°

Note that the tangent is positive in the 3rd quadrant, too.... so this angle might also be

(180 + 85.497810507959)  = 265.497810507959°

Did you get it correct???

Your way would work...the error that you made is when you multiplied both sides by v...you forgot to multiply the "w" by "v,"   too!!

Try it again and see what happens......

Yup thank you :)

No....we're trying to find the opposite side.....the tangent is correct......let's look at the set up....

tan(12) = opp / 150

Does this help??   See if you can solve it.......if not, let me know.....

It makes sence to me why you can do it that way, but I'm still just a little confused on why my way is incorrect...

Maybe I'm just overthinking it.

I don't know forsure but here is the hint it gives me... Does that help?  So I belive the track is the hypotonuse and that is what we are trying to find.

Is that how i do a squareroot??

OK...so far, so good.....so we have

2x = 8/9      .....now.......how do we get x by itself???

8/9?

-Natasza:)

OK.....do that first.....

Do i simplify 16 and18?

Does that make sense CPhill?

Well....the square root of 4 = 2....so we have....

2x = 16/18

Can you take it from here????

Let me ask you a question......Don't we have an angle, an adjacent side, and we're looking for the opposite side??

What trig function relates these??

See if you can set it up.......then...we'lll work through it........

We're probably doing a little more on the first one than we need to, ND.......note that we have...

B = w - z/v

Note the "z/v" is just a single term that we can add to the other side

B + z/v = w     and this "isolates" w

Does that make sense???

Sorry that it posted weird! I will try to retype that question...:

x√4=16/18

Your at a library? Why are you at a-

Nevermind, I won't ask.

I would, except I'm at a public library, and it's hard to upload/download stuff here.....maybe I'll do it later....!!!!