If log 18 to the base 12=a and log 54 to the base 24=b,prove that ab+5(a-b)=1?
2 Answers
Jul 11, 2017
see explanation
Explanation:
Please check to make sure I've read the problem correctly. Logarithms may be written wrong...
#\log_12(18)=a# #\log_24(54)=b#
Jul 12, 2017
Please see below.
Explanation:
As
i.e.
or
similarly as
i.e.
or
Comparing the two
and
Subtracting (A) from (B), we get
and
hence
(Note that (B) gives