SOLUTION: Show that logb (a) loga (b) = 1

Question 1089580: Show that logb (a) loga (b) = 1
Found 3 solutions by Fombitz, math_helper, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

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Take it from there.

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
Say
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Raise a to both sides:

The right hand side is just b:

Now take log base b of both sides:

The left hand side is while the right hand side is 1:
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Finally, since , the proof is completed by substituting for X:

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Show that logb (a) loga (b) = 1

PROVE:
------- Applying CHANGE of BASE

That's how SIMPLE this is.
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