CPhill

Sorry...Anonymous.....I didn't look at your answer closely enough...it is arctan(4/15)

My mistake.....!!!

Just put this into the on-site calculator as is.......make sure that you're in the correct mode (probably degrees??)

Thanks, kitty<3....I hadn't seen that "Bounds on Zero" thing since Pre-Cal, and I forgot how to do it !!!.......it's presented in an easy manner on those pages......

OK, Anonymous......the opposite side is 4  and the adjacent side is 15....what relates these?? Set this up....and use an inverse function to find your angle.....

BTW.....you have the right inverse function.......your numbers are incorrect, though...

The point of intersection is (-19/24 , -11/12)

So I assume you have this....

log₇ (1/343)

First...look at something

Note......(7)^-1 = (1/7¹) = (1/7)

And    (7)^-2= (1/7²)  = (1/49)

And    (1/7)^-3  = (1/7³) = (1/343)

So .... log₇ (1/343) is just asking us..."What exponent (power) do we need to put on 7 to get (1/343) ??"     And the answer is....    -3   

(Don't get confused....we're not "multiplying" anything.....!!)

Hope that helps.....

I assume you might mean this.....(5x^2-3+5) - (3x-4x-7) =

(5x^2 +2) - (-1x -7) =

5x^2 +2 + 1x +7 =

5x^2 +x + 9

Using the "change of base" rule, we can write:

log1944/log2n = log 486√2/logn      ...and rearranging, we have

log2n/logn = log 1944/log 486√2     .....simplify the right side

log2n/logn = 1.1591543597738549   .......multiplying both sides by logn and using a multiplicative log property to expand the left hand side, we  have

log2 + logn = (1.1591543597738549)logn     ......subtract logn from both sides

log2 = (.1591543597738549)logn      ........isolate logn on the right by dividing by                                                                (.159......49)

log2/.1591543597738549 = logn      ....simplify the left side

1.8914341780628552767 = logn   .......writing in exponential form to find "n," we have:

10^{1.8914341780628552767} = n = 77.8814767965999254121447 ≈ 77.88

Note....a^-n means   1/aⁿ

So a^-1/2   means 1/a^1/2 = 1/√a

For instance....9^-1/2 = 1/9^1/2 = 1/√9 = 1/3

Does that help ??

We can't express 8/75 in whole numbers (it's a "proper" fraction in simplest form)......if by this you mean a decimal, it's....

.106666......(the decimal "repeats")