Math
Calculate Logarithms — Any Base
Calculate log base 10, natural log (ln), or any custom base. Shows step-by-step conversion between bases.
In this article
Basics
log10(100) = 2 (10²=100)। ln(x) = loge(x)। log(a×b) = log(a)+log(b)। JEE/NEET: logarithm questions common. Rule of 72: doubling time = 72/rate%।
Applications
Compound interest doubling: 72/rate। 8% return: 72/8 = 9 years to double। Richter scale, decibels, pH — all logarithmic।
⚡ CalcWolf Insight
Logarithmic scales are everywhere in daily life: the Richter scale (each whole number = 10x more energy), decibels (every 10 dB = 10x louder), and pH (each unit = 10x more acidic). Understanding logs means understanding these scales intuitively.
Frequently asked questions
log vs ln?▾
log = base 10। ln = base e। JEE: both tested heavily।
Rule of 72?▾
72/rate% = years to double। 12% return: 6 years। SIP magic!
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