tricky logarithm substitutions, precalculus

Question

For all three, the second part in the ellipses is the question. For example, the first one would be

log base B (M) = X ... then ... log base M (B^2) = ?

throughly confused, an explanation would be very helpful

the capital / lowercase B is the same, sorry for the confusion.

score 1 · Answer 1 · answered Dec 13 '13 at 03:06

1

I suppose $B=b$ in the first problem

$x=\log_b(M) = \log(M)/\log(b)$,

$\log_M(B^2)= \log(B^2)/\log(M)=2 \log(B)/\log(M)=2/x$

second and third problems are very similar

answered Dec 13 '13 at 03:06

MoonKnight

thanks! I fully understand the first one but I am still confused for the second and third. the second one i got (log A) / (log B) = 2, (log A) / (log b^2) = ? – Kevin Li Dec 13 '13 at 03:14
$\log(B^2)=2\log(B)$ – MoonKnight Dec 13 '13 at 03:42

1 Answers1