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\nChange of Base Formula Calculator
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Use this calculator to evaluate logarithms using the change of base formula.
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Explanation:
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\n The change of base formula allows you to rewrite the logarithm of a number\n from one base to another base using the following equation:\n logb(x) = logc(x) / logc(b)\n
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\n Where:\n
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- logb(x) is the original logarithm
- logc(x) is the logarithm with the new base c
- logc(b) is the logarithm of the original base with the new base c
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Example:
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Calculate log2(8) using the change of base formula:
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\n log2(8) = log10(8) / log10(2) = 3\n
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\n log2(8) = loge(8) / loge(2) = 3\n
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| Base | Number | logbase(number) | log10(number) | log10(base) |
|---|---|---|---|---|
| 2 | 8 | 3 | 0.90309 | 0.30103 |
| e | 10 | 2.30259 | 1 | 0.43429 |
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