Log Laws Transformer (with steps)

Expand logarithms, reverse them into a single term, change bases, and evaluate values while keeping the full working shown beside the answers.

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Mode

Choose a mode, enter the base and expression, then compute to see symbolic steps and shareable outputs.

Result

How it’s calculated

    FAQ

    Which log transformations does this calculator cover?

    It handles the product, quotient, and power rules for expansion, condenses signed sums into one log, converts between bases (showing both log10 and ln forms), and evaluates numeric values.

    What domain checks are enforced?

    Before computing, the tool requires a>0, b>0, and b≠1 for numeric modes. Any input outside this domain raises an error instead of a misleading result.

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