SOLUTION: Im required to solve this problem without a calculator. How do I go about doing that? {{{ Lnk*(Log e/Log k) }}}

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Question 560424: Im required to solve this problem without a calculator. How do I go about doing that?

Found 2 solutions by scott8148, stanbon:
Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
there is a base rule for logs ___ Logb(a) = Log(a) / Log(b)

Ln is "natural" log ___ the base is e

Ln(k) = Loge(k) = Log(k) / Log(e)

so you have ___

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Lnk*(Log e/Log k)
----
= (ln(k))*(log(e)/log(k))
---
= [log(k)/log(e)] * [(ln(e)/ln(10)] / [ln(k)/ln(10)
-----
= [log(k)/log(e)] * [ln(e)/ln(k)]
---
= [(ln(k)/ln(10))/(ln(e)/ln(10)] * [ln(e)/ln(k)]
---
= [ln(k)]
----
= 1
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Cheers,
Stan H.
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