Logarithms – Algebra Formulas

Logarithms Positive real numbers : x, y, a, c, k Natural number : n 1. loga1=0 2. logaa=1 3. loga0=-∞ if a>1 and +∞ if a\lt1 4. loga(xy)=logax+logay 5. logaxy=logax-logay 6. loga(xn)=nlogax 7. logaxn=1nlogax 8. logax=logcxlogca=logcx-logac, c>0,c≠1 9. logac=1logca 10. x=alogax 11. log10x=logx 12. logex=lnx 13. logx=1ln101nx=0.434294 1nx 14. lnx=1logelogx=2.302585logx

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