Logarithm Calculator

Calculate logarithms with any base including natural, common, and binary logarithms

Logarithm Calculation

Enter a number and select the logarithm base

Number (must be positive)

Logarithm Base

How it works:

A logarithm answers the question: "To what power must the base be raised to get this number?" The calculator uses the change of base formula: log₍ᵦ₎(x) = ln(x) / ln(b), where ln is the natural logarithm.

What is this calculator?

Calculates logarithms with any base
Shows natural, common, and binary logs
Provides step-by-step solutions
Includes antilog verification
High precision calculations

Why do you need it?

Exponential growth calculations
Scientific and engineering work
pH calculations in chemistry
Decibel measurements in acoustics
Computer science algorithms

When do you need it?

Advanced mathematics courses
Scientific research projects
Financial compound interest
Data analysis and statistics
Engineering problem solving

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