Question

Give me the steps not the answer please. How would i write log6 5 as a logarithm of base 4?

Answer 1

well, write it out first

log6 5 = log4 x

swap these into lns by the change of base

ln5 ln4
--- = ----
ln6 lnx

then rearrange to solve for x

Answer 2

ok, yea, i dont get it

Answer 3

have you heard of the change of base ?

Answer 4

no

Answer 5

hmm, well then we can work it the long way i spose ... maybe

Answer 6

ok

Answer 7

hmm, there is no pretty little answer to it is there .....

Answer 8

no, this is confusing

Answer 9

\[log_6(5)=log_4(x)\]
\[\frac{ln5}{ln6}=\frac{lnx}{ln4}\]
\[\Large e^\left(ln4\frac{ln5}{ln6}=lnx\right)\]
\[\Large e^\left(ln4\frac{ln5}{ln6}\right)=x\]
\[\Large e^\left(ln4\frac{ln5}{ln6}\right)=x\]
which is another way of writing:\[\Large 4^{log_6(5)}\]

Answer 10

this?

Answer 11

well, that would work as a change of base yes .... i spose we aint got to use the lns

Answer 12

5 on top tho

Answer 13

thanks!

Answer 14

yw