9/12/2014 Prove the Change-of-Base formula: logb a = logc a / logc b


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9/12/2014 Solution.
Let x = logb a bx = a.
Taking log to the base
c of both sides:
log
c bx = logc a, so that

x logc b = logc a and solving for x:
x = logc a / logc b