log2x = log x / log 2
On the right side, you can use logarithm in any base (calculators usually provide base-10 and base-e), just be sure to use the same base in both cases. Thus:
log2x = ln x / ln 2
or:
log2x = log10x / log102
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y = ln (x) dy/dx = 1/x
Use the change of base formula. The change of base formula goes like this: logbx = (logx)/(logb) the logs on the right side can be any base, though you should probably use log10 because that's what your calculator will use.
ln(ln)
Ever heard of calculator?? log to base 10 = 0.0367087, natural log, 0.08452495
d/dx lnx=1/x