Question 558060
log8 12 = P
Write the exponent equiv of logs
{{{8^p = 12}}}
Use common logs
{{{log((8^p)) = log((12))}}}
use log equiv of exponents
{{{p*log((8)) = log((12))}}}
Find the logs
.903P = 1.079
P = {{{1.079/.903}}}
P = 1.195
:
log8 5 = q
{{{8^q = 5}}}
{{{log((8^q)) = log(5))}}}
{{{q*log((8)) = log((5))}}}
.903q = .699
q = {{{.699/.903}}}
q = .774
:
log8 9 = r
{{{8^r = 9}}}
Do this the same way as the previous two problems
:
:
Find log8 32/27, 
let the log = y
Write it log8 32/27 = y
{{{8^y = 32/27}}}
.903y = .0738
y = {{{.0738/.903}}}
y = .0817 is the log of 32/27 using the base 8
Check this on a calc: enter {{{8^.0817}}} results 1.185 which = 32/27