Converting Exponent Bases using Logarithms

My “How to Convert the Base of an Exponent with Logarithms” was published in Decoded Science today. Like some of my other articles about mathematics, the title pretty much states the contents of the article.

Why Convert the Base of an Exponent?

"Leonhard Euler painted by Jakob Emanuel Handmann" : Image via Wikimedia
“Leonhard Euler painted by Jakob Emanuel Handmann” : Image via Wikimedia

Why would anyone convert an exponential expression from one base to another? In my case, I want to convert between base-two and base-ten. For example, 10^3 = 1000 < 1024 = 2^10. Most people are comfortable with base 10, but some probabilties, such as how likely it is to toss ten heads in a row, are better expressed in base 2. I wanted to be able to convert the exponents, in this case ‘3’ and ’10’, using a simple math formula.

My article fulfills the title’s promise, demonstrating how to make this conversion using natural logarithms.

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Thank you for reading about my article on how one might convert exponential expressions between bases by the use of logarithms.

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