Logarithm Calculator

Unlock the power of logarithmic calculations with our Logarithm Calculator. Effortlessly determine logarithms of various bases and values.

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log
×
log

* Use e for scientific notation. E.g: 5e3, 4e-8, 1.45e12

Logarithm calculation

Calculation with log(value,base):

When:

b y = x

Then the base b logarithm of a number x:

log b x = y

Logarithm change of base calculator

log

Anti-logarithm calculator

In order to calculate log -1(y) on the calculator, enter the base b (10 is the default value, enter e for e constant), enter the logarithm value y and press the = or calculate button:

 
Result:

When

y = log b x

The anti logarithm (or inverse logarithm) is calculated by raising the base b to the logarithm y:

x = log b -1( y) = b y

Logarithm rules

Logarithm product rule

logb(x × y) = logb(x) + logb(y)

Logarithm quotient rule

logb(
xy
) = logb(x) - logb(y)

Logarithm power rule

logb(y) = y × logb(x)

Logarithm base switch rule

logb(c) = 
1logc(b)

Logarithm change of base rule

logb(x) = 
logc(x)logc(b)
How do I use the Logarithm Calculator to calculate logarithms?

To calculate logarithms using the Logarithm Calculator, simply input the base and the value for which you want to find the logarithm. Click the "Calculate" button, and the calculator will provide you with the result. It's a quick and efficient way to determine logarithmic values.


See also

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