1 Logarithm Calculator | log(x) Calculator
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Logarithm Calculator

Calculate logarithm of a number to any base:

log  
Result:
Description:

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

When:

b y = x

Then the base b logarithm of a number x:

logb x = y

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 = logb x

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

x = logb-1(y) = b y

Logarithm rules

Logarithm product rule

logb(x × y) = logb(x) + logb(y)

Logarithm quotient rule

logb(x / y) = logb(x) - logb(y)

Logarithm power rule

logb(x y) = y × logb(x)

Logarithm base switch rule

logb(c) = 1 / logc(b)

Logarithm base change rule

logb(x) = logc(x) / logc(b)

 

 


See also
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What is the consequence of changing over the condition? Completing every one of the changes recorded above can give either a condition that has indistinguishable roots from the first condition, or a condition, among the underlying foundations of which contains every one of the foundations of the first condition, however which can likewise have different roots, or a condition that does exclude every one of the roots underlying foundations of the changed condition. In the accompanying passages, we will dissect which of these changes under which conditions lead to which conditions. It is critical to know for the fruitful arrangement of conditions.

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