825 reputation
412
bio website
location Sweden
age
visits member for 2 years
seen Sep 14 at 11:24

Currently enjoying learning the language of mathematics!


1d
awarded  Yearling
Oct
16
awarded  Popular Question
Sep
24
awarded  Autobiographer
Sep
12
comment Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$
I am not sure, solving the quadratic function gives me two roots: $u = 1$ and $u = 2$. Only $u = 2$ is right. Any ideas?
Sep
12
comment Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$
Thank you for your answer! Much apreciated!
Sep
12
accepted Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$
Sep
12
comment Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$
I am not sure that I understand this completely. Running the equation on Wolfram gives me the (real) root $\frac{1}{3}$. By using the substitution method $2^x = a$ we get: $$a^3+a^4+a^5 = 2(1 + a + a^2) \implies a^3(1+a+a^2) = 2(1 + a + a^2)$$ This gives me that $a^3 = 2$, which is correct now that I think about it. Thank you!
Sep
12
revised Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$
added 4 characters in body
Sep
12
asked Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$
Sep
12
accepted Which of the following numbers are the smallest and largest: $\sqrt[5]{2}, \frac{4}{3}, \sqrt[6]{3}$?
Sep
12
accepted Calculate the absolute value of $z=(10+5i)(1+10i)(4+2i)(5+2i)$
Sep
12
comment Calculate the absolute value of $z=(10+5i)(1+10i)(4+2i)(5+2i)$
Thank you for your answer!
Sep
12
comment Calculate the absolute value of $z=(10+5i)(1+10i)(4+2i)(5+2i)$
Thank you Jean-Claude! This is indeed the correct answer!
Sep
12
asked Calculate the absolute value of $z=(10+5i)(1+10i)(4+2i)(5+2i)$
Sep
11
comment Which of the following numbers are the smallest and largest: $\sqrt[5]{2}, \frac{4}{3}, \sqrt[6]{3}$?
Thank you very much for your answer! It does help me :)
Sep
11
comment Which of the following numbers are the smallest and largest: $\sqrt[5]{2}, \frac{4}{3}, \sqrt[6]{3}$?
Thank you very much for your explanation Dan. Much appreciated!
Sep
11
comment Which of the following numbers are the smallest and largest: $\sqrt[5]{2}, \frac{4}{3}, \sqrt[6]{3}$?
Sorry for that Praphulla, I did not mean to cause any confusion. This is corrected now. Thank you.
Sep
11
revised Which of the following numbers are the smallest and largest: $\sqrt[5]{2}, \frac{4}{3}, \sqrt[6]{3}$?
added 18 characters in body
Sep
11
comment Which of the following numbers are the smallest and largest: $\sqrt[5]{2}, \frac{4}{3}, \sqrt[6]{3}$?
I am not supposed to use a calculator, and all other questions before it has been more in line of quite simple algebraic manipulations. So I thought that there might be a way to "see" which of the numbers that are the largest and smallest...
Sep
11
asked Which of the following numbers are the smallest and largest: $\sqrt[5]{2}, \frac{4}{3}, \sqrt[6]{3}$?