Question

Please Help.

Answer 1

\[\frac{ 1 }{ 8 }\ln x +6 \ln y- \frac{ 1 }{ 6 }\ln z\]

Answer 2

HI!!

Answer 3

are you supposed to write it as a single log?

Answer 4

hmm can't do that can we since we have no numbers there

Answer 5

i think it wants you to write it as a single logarithm

Answer 6

unless you were given some numbers that you did not post

Answer 7

ok now i am thinking you are confusing two different problems since your equation has not a, b or c in it

Answer 8

sorry, my brain is fried today.

Answer 9

i bet you are looking at two separate questions
one says "write as a single log" and one says "approximate the value"

Answer 10

You were correct it wants it written as a log of one quantity

Answer 11

ok whew

Answer 12

start with \[n\log(x)=\log(x^n)\]

Answer 13

so \[\large \frac{1}{8}\log(x)=\log(x^{\frac{1}{8}})=\log(\sqrt[8]{x})\]

Answer 14

similarly \[6\log(y)=\log(y^6)\]

Answer 15

and \[\frac{1}{6}\log(z)=\log(\sqrt[6]{z})\]

Answer 16

so now we have \[\large
\log(\sqrt[8]{x})+\log(y^6)-\log(\sqrt[6]{z})\]

Answer 17

then use \[\log(A)+\log(B)=\log(AB)\]

Answer 18

and also \[\log(A)-\log(B)=\log(\frac{A}{B})\]