Log Calculator — ln, log10, and Change-of-Base

What this calculator is

The Scientific Calculator is an interactive tool inside GetCalcMaster. It’s designed to help you explore scenarios, understand formulas, and document assumptions.

Key features

• ln(x) vs log10(x)
• Change-of-base: log_b(x)=ln(x)/ln(b)
• Use powers to sanity-check (e.g., log10(100)=2)

Formula

Change of base: log_b(x) = ln(x) / ln(b)
Product: log_b(xy) = log_b(x) + log_b(y)
Power: log_b(x^k) = k · log_b(x)

Quick examples

• log10(1000) = 3
• ln(e^2) = 2
• log2(32) = 5

Verification tips

• Log inputs must be positive (x > 0).
• Exponentiation check: b^(log_b(x)) should return x.
• Use change-of-base if your calculator supports ln/log10 only.

Common mistakes

• Mixing ln and log10 unintentionally.
• Trying to take log(0) or log(negative).
• Forgetting log of a fraction is negative (e.g., log10(0.01) = −2).

How to use it (quick steps)

1. Enter an expression using scientific functions (trig, logs, powers, etc.).
2. Adjust angle mode (deg/rad) or formatting options as needed.
3. Evaluate and sanity‑check results by trying alternate inputs or identities.
4. Send your final expression and notes to Notebook for a reproducible record.

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FAQ

Tip: For reproducible work, save your inputs and reasoning in Notebook.