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Home/Mathematics/Exponents & Logarithms/Logarithm Properties Calculator
Math CalculatorExponents & Logarithms

Logarithm Properties Calculator

Expand or condense logarithmic expressions using the product, quotient, and power rules. Enter a logarithmic operation and see the result.

Updated 2025-01-155 min readCalzyra Math Team
HomeMathexponents logarithmsLogarithm Properties Calculator

Logarithm Properties Calculator

Expand or condense logarithmic expressions using the product, quotient, and power rules. Enter a logarithmic operation and see the result.

Formulalog_b(MN) = log_b(M) + log_b(N), log_b(M/N) = log_b(M) - log_b(N), log_b(M^k) = k·log_b(M)

Enter Values

Enter the logarithm base.

Enter the first value inside the logarithm.

Enter the second value (for product/quotient rules only).

Enter the exponent (for power rule only).

About This Formula

Applies standard logarithm properties: product rule, quotient rule, and power rule to simplify or expand expressions.

Formula & Methodology

How this calculator works

log_b(MN) = log_b(M) + log_b(N), log_b(M/N) = log_b(M) - log_b(N), log_b(M^k) = k·log_b(M)

Applies standard logarithm properties: product rule, quotient rule, and power rule to simplify or expand expressions.

Frequently Asked Questions

Common questions about this calculator

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