Logarithm Calculator


Calculate logarithm of a number to any base:

×
log
×
log

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

Logarithm expression calculator

Expression with log(value,base):

When:

b y = x

Then the base b logarithm of a number x:

logb 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 = 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

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

Logarithm power rule

logb(x y) = y × logb(x)

Logarithm base switch rule

log b( c) =
1 logc(b)

Logarithm change of base rule

log b( x) =
logc(x) logc(b)

 

Logarithm - log(x) ►

 


See also

MATH CALCULATORS
CONTACT