Question

I have 4 questions that have to do with logs. If someone could help, that'd be great!

1. log6 (10)= x
Log6 (7)= y
Log6 (4) = z

Find log6 (1/9)


2. Log7 (3) = x
Log7 (8) = y
Log7 (10) = z

Find log7 (15/32)

3. Log8 (10)= p
Log8 (12) = q
Log8 (11) = r

Find log8 (5/256)

4. Log8 (12) = p
Log8 (5) = q
Log8 (9) = r

Find log8 (32/27)

Answer 1

https://www.desmos.com/calculator

This should help! :)

Answer 2

Thank you...Only thing is that I can't really use set values for these logs, so...

Answer 3

Could you please post the directions for these problems?

Answer 4

Here are the directions: use the properties of logarithms and the values below to find the logarithm indicated, do not use a calculator to evaluate the logs.

Answer 5

wow that is a tricky one

Answer 6

the idea is to figure out how to write \(\frac{1}{9}\) as a combination of \(4,7,10\) and \(6\)

Answer 7

only operations allowed are multiply, divide, raise to powers, and take roots
to get \(\frac{1}{9}\) you can use
\[\frac{1}{9}=\left(\frac{1}{3}\right)^2=\left(\frac{\sqrt{4}}{6}\right)^2\]

Answer 8

so
\[\log(\frac{1}{9})=\log\left(\frac{\sqrt{4}}{6}\right)^2\]

Answer 9

guess i lost her

Answer 10

actually \[\log(\frac{4}{6})^2\] would work better

Answer 11

Yeah ; w ; I'm still pretty stumped..

Answer 12

Huhu, thanks :)