Logarithm Rules: Log Properties, Change of Base, Graphs
All the log rules (product, quotient, power, change of base) with proofs, plus how to solve log and exponential equations and graph a log function.
Tag: logarithms
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Free Scientific Calculator Online (with DEG/RAD Guide)
A free online scientific calculator with trig in degrees or radians, logs, powers, roots, factorials and scientific notation, plus how to use every key.
Integral of 1/x: Why It’s ln|x| + C (Not x⁰/0)
The integral of 1/x is ln|x| + C. Why the power rule fails at n = −1, why the absolute value matters, and examples like 1/(3x+2).
Integral of ln(x): x ln x − x + C (Integration by Parts)
The integral of ln(x) is x·ln(x) − x + C. Full integration by parts derivation, a check by differentiation, definite integral examples and variations.
Derivative of ln(x): Formula, Proof and Examples
The derivative of ln(x) is 1/x. See two short proofs, the chain rule version for ln(g(x)), worked examples and common mistakes.