Question

A little question about change of bases.

Answer 1

\[b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\] is one version

Answer 2

\[\log_b(A)=\frac{\log_a(A)}{\log_a(b)}\] is another

Answer 3

u can see y logarithmic tutorial:- http://openstudy.com/users/jiteshmeghwal9#/updates/5002ba39e4b0848ddd66b602

Answer 4

click on the highlighted link :)

Answer 5

I was reading a book and I find: If B and B' are orthonormal bases then:
\[\left [ B' \right ]_{B}^{-1}=\left [ B' \right ]_{B}^{T}\]

Answer 6

basis not bases

Answer 7

Sorry, I my mistake, I don't speak English very well.

Answer 8

gt it @SqueeSpleen ??

Answer 9

but there is case of writing :)

Answer 10

what is your question

Answer 11

log or rhythm?

Answer 12

nope

Answer 13

she wanna know how can we change the bases ?? in logarithms

Answer 14

NO

Answer 15

C={(1,0,0),(0,1,0),(0,0,1)}
B={(1/3^(1/2),1/2^(1/2),1/2^(1/2)),(-1/3^(1/2),0,-1/2^(1/2)),(1/3^(1/2),1/2^(1/2),0)}
And B[C]^t =/= B[C]^(-1)
What's wrong?

Answer 16

Gram–Schmidt ?

Answer 17

I know Gram-Schmidt and how to find an orthonormal base using a base or some linear independent vectors, but I was wondering if the previous fact (The one I writted in LaTeX) is true.

Answer 18

Should I re-open the question with the correct title?

Answer 19

yes