Funny Math

Introduction to logarithms calculator

If x = b^y , then y = log_b (x). log means logarithms
Note: base b not be equal to 1 and x and b should be positive numbers.
Here b is Known as base. so, "Logarithm of x to a given base b log_b x is the power y to which the base b must be raised in order to get the original number x".
For example,
10² = 100, so log₁₀100 = 2
The 100 logarithm to base 10 is 2, as when we raise power of 10 to 2 times, we get 100 .
The bases used most often are :
a. base - 10 for the common logarithm,
b. base - e for the natural logarithm also known as Napier logarithms <>, loge x can also be denoted as ln x.
c. base - 2 for the binary logarithm.
An important feature of logarithms is also would you like to know differentiation calculator:
The logarithm of the product of 2 numbers to some base is the sum of the logarithms of those numbers with same base, which means we can reduce multiplication to addition.
log (xy) = log (x) + log (y)