SOLUTION: Given that log8 5 = 0.7740 and log8 11 = 1.1531 evaluate the expression log8 320

Algebra.Com
Question 1029068: Given that
log8 5 = 0.7740
and
log8 11 = 1.1531
evaluate the expression
log8 320
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
log 8 (320)=log 8 (5)+log 8(64)=2.7740, because log 8 (64)=2.
Check with change of base formula
log8 320=log 10 320/log 10 8= 2.77397
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
Given that
log8 5 = 0.7740
and
log8 11 = 1.1531
evaluate the expression
log8 320
~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

320 = 5*64 = 

Therefore,   =  =  = 0.7740 + 2 = 2.7740.

The info on  is excessive and is not used in this evaluation.


RELATED QUESTIONS

Given that log8 5 = 0.7740 and log8 11 = 1.1531 evaluate the expression log8... (answered by Alan3354)
log8 (answered by stanbon,lynnlo)
log8(2x-1)=0 (answered by nerdybill)
log8(1)=0 (answered by Fombitz)
If log8 3 = 0.5283 and log8 5 = 0.7740, then what is the value of log8 45... (answered by nerdybill)
Log8/Log8=? (answered by Edwin McCravy)
Solve... (answered by Theo)
use long8 5=0.7740 and log8 4=0.6667 to evaluate log8... (answered by Alan3354)
Evaluate the expression without using a calculator. log8 8... (answered by MathLover1)