Logarithmically Lovely Line!

This is the 100th math trick!

Example:

If x = 10, a = 2 & b = 3, then:

102 + 103 = 100 + 1,000 = 1,100

ln(102 + 103)/ln(10) = log(1,100) = 3.041392685...

y =  3.041392685...

Note: log(x) = ln(x)/ln(10).

Raising the number 10 by the irrational number in the example will give you 1,100!

P.S.: ln(xa + xb)/ln(x) can also be simplified to logx(xa + xb)

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© Derek Cumberbatch