After a while, i finaly got to this equation, and solved it.
It was quite easy.
x*3^{log_{x}5}=15 /multiply this with log of base 3
log_{3}x + log_{x}5 = log_{3}5 + 1
when you convert
log_{x}5
to base 3, and and multiply the whole equation with
log_{3}x
and sort it out, factorize, you...
I thought i made it clear - yes, it is tangentg of x.
As i said, i already knew that
alpha=arctg of the right side.
But i need how to exactly GET the value of alpha.
I hope you understand where i'm going at?
How much is alpha - in degrees - rather than it is arctg of the expression on...
actually that was the key to solving this, but i found a version of this task where it said
(a+b+c)X(a+b-c), and i was in doubt what X means, and i thought it was a vector product.
however, it turned out to be just simple ol' multiplying.
Homework Statement
If we are given an equation that equals tg\alpha, and we need to find out how much is \alpha, how would we do it, having in mind the equation bellow?
Homework Equations
tg\alpha=\frac{(1+tg1)(1+tg2)-2}{(1-tg1)(1-tg2)-2}
The Attempt at a Solution
Since i know the answer (i...
I know the law of cosines, but i can't find a way to use it here, because i don't know the numerical values of the pages, neither do i know the angles.
I just know i have the condition given that
(a+b+c)x(a+b-c)=3ab.
I'm guessing that x marks the Cartesian product of a+b+c and a+b-c and...
I'm interested how to solve the following problem:
if we have a triangle, where a,b,c are sides of that triangle and we know that
(a+b+c)x(a+b-c)=3ab, we need to find the angle opposite to side c.
How to do this?
:biggrin:
I appreciate you all helping.
I see some of you suggested hit/miss option, that i want to avoid.
I'm interested if anyone could provide a procedure that's not based on guessing (but if we're at it - 5 is one of the solutions :D).
I'll keep on trying and if i come up with...
I could write 3^{log_{x}5} as 3^\frac{1}{log_{5}x} or 3^\frac{log_{c}5}{log_{c}x}, where c is some other constant, but i don't know what to do with the x that multiplies 3, that's what's causing me trouble.
I know those formulas, but i didn't find a way to properly use them in this case.
Also, i'm sorry if i posted this inf the wrong forum. Mods can move the topic.
Homework Statement
How many numbers, where x is is a whole number, satisfy the equation.
Homework Equations
x*3^{log_{x}5}=15
The Attempt at a Solution
Most of my attempts have been blocked due to the fact that i don't know what to do with the x that is not in the base of algorithm. I tried...
It's possible if c and d are both equal zero!
Then i just solve the system of 2 equations with 2 unknowns.
THANKS gb7nash!
(hate it when i miss obvious catches)...
The key word would be somehow. If multiplication worked, i wouldn't be asking how :).
Anyway, i get a bunch of junk, and i can't seem to figure out what to do with it. How to create or find 3a-7b, that is...
If a and b are real numbers, and we know that (2a-b-3)^{2} + (3a+b-7)^{2}=0, how much is 3a-7b
Any ideas on this? I'm guessing the solution can go two ways: either i find a and b separately, or i calculate the expression above somehow and i'll be left with 3a-7b
well, that was my idea originally.
using the facts that
i^{1}=i, i^{2}=-1, i^{3}=-i, i^{4}=1
i tried to find a way to brake the expression given in the first post into something which could destroy the [te]i[/tex], just like i would do with, ie
(1+i)^{2010}=(2i)^{1005}=2^{1005}i, but i'm...
I made an error while copying the original equation, and partly copying my idea, fixed it in the original post now.
I think my first step is okay now, having in mind changes i made?
It's important that this is the right way. I'll just finish it, i guess i made a mistake in the calculus...
Homework Statement
So, i have this equation, and it is asked of me to find the number of complex numbers that satisfy the equation. (z=x+iy)
Homework Equations
z-\overline{z}+|z-i|=4-2i
The Attempt at a Solution
I tried replacing the numbers and i got something like this...
Hello guys!
I have a question related to complex numbers.
How would i calculate, for example
(\frac{\sqrt{3}+i}{2})^{2010} without using the De Moivre's theorem?