SOLUTION: If log(2/5)=a , then define log(32) in terms of a

SOLUTION: If log(2/5)=a , then define log(32) in terms of a

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Question 604023: If log(2/5)=a , then define log(32) in terms of a
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
When I looked at this problem, I found a solution by recognizing...

Since it will be possible to express log(32) in terms of log(2):

using the property
The property can be used to separate the 2 and the 5:

From this we can get an expression for log(2):

Substituting this expression into the log(32) expression we get:

Distributing the 5 we get:

which expresses log(32) in terms of a.
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