Home/Calculators/Logarithm & Antilogarithm Calculator

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Math & Statistics

Logarithm & Antilogarithm Calculator

Calculate the logarithm and antilogarithm of a number for any positive base.

Inputs

-10,00010,00,00,000
110,00,000

Calculation Results

Logarithm (log_b(x))

2

Antilogarithm (b^x)

10,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000

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Formula & Mathematical Explanation

log⁡b(x)=ln⁡(x)ln⁡(b),antilogb(x)=bx\displaystyle \log_b(x) = \frac{\ln(x)}{\ln(b)}, \quad \text{antilog}_b(x) = b^x

The logarithm of a number x to base b is the exponent to which b must be raised to produce x. The antilogarithm is the inverse operation, calculated as b raised to the power of x.

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