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Beautifully done. I expected the result as I recognized by inspection x = 1/2 : you demonstrated a general method which will work for any case of x = 1/ (N^N)^x where N is an integer. (x = 1/N)
cross multiply, get 4xsquared = 1/4 x2=sqrt of 1/4 x=1/2 simpler way, no?
that makes no sense
x4ˣ = 1xln4eˣˡⁿ⁴ = ln4 = 2ln2xln4eˣˡⁿ⁴ = (ln2)(eˡⁿ²)xln4 = ln22xln2 = ln2*x = 1/2*
Beautifully done.
I expected the result as I recognized by inspection x = 1/2 : you demonstrated a general method which will work for any case of
x = 1/ (N^N)^x where N is an integer. (x = 1/N)
cross multiply, get 4xsquared = 1/4 x2=sqrt of 1/4 x=1/2 simpler way, no?
that makes no sense
x4ˣ = 1
xln4eˣˡⁿ⁴ = ln4 = 2ln2
xln4eˣˡⁿ⁴ = (ln2)(eˡⁿ²)
xln4 = ln2
2xln2 = ln2
*x = 1/2*