2
4.605170186
2
6.6438561898
2
100
10
2
4.605170186
2
6.6438561898
2
100
10
Use this Log Calculator (Logarithm) to compute log base b, natural log (ln), log10, and log2 instantly. It also includes two power-user tools: anti-log (inverse logarithm) and solve for the log base — perfect for algebra, precalculus, computer science, and engineering problems.
A logarithm answers the question: “What power do I raise the base to, to get x?”
y = logb(x) means by = x.
This calculator uses the change-of-base formula:
logb(x) = ln(x) / ln(b)
Many calculators implement logs using a known base (like 10 or e) and then convert bases — exactly what we do here.
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Because 10^2 = 100, log10(100) = 2.
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Because 2^3 = 8, log2(8) = 3.
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If y = 3 and base is 10, then x = 10^3 = 1000.
A logarithm tells you the exponent needed to raise a base to get a number. If b^y = x, then y = log_b(x).
ln means log base e. log
Use the change-of-base rule: log_b(x) = ln(x)/ln(b) or log10(x)/log10(b). This is a standard method used by many calculators.
If y = log_b(x), then the inverse operation is x = b^y. That’s called the anti-log or inverse log.
No. Base 1 is not valid for logarithms because it does not create a one-to-one exponential relationship.
Roboculator Team
The Roboculator Team explains calculations, planning tools, and practical formulas in clear language for real-life situations.
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