SOLUTION: Given that loga2 = 0.693 and loga7 = 1.946, evaluate loga2/7.

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Question 1040597: Given that loga2 = 0.693 and loga7 = 1.946, evaluate loga2/7.
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Given that loga2 = 0.693 and loga7 = 1.946, evaluate loga2/7.
:
can be expanded to
-
therefore
.693 - 1.946 = -1.253
= -1.253
:
We can evaluate a
The exponent equiv
=
using common logs
=
= -.5441
log(a) =
log(a) = .4342
Find the antilog
a = 2.717
:
:
Check using

= 1.999 ~ 2


Answer by ikleyn(52915)   (Show Source): You can put this solution on YOUR website!
.
On properties of logarithms see the lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
in this site.



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