# log4(8)

## Enter natural log statement

Evaluate log4(8)

Evaluate log4(8) using the Change of Base Formula

The formula for the change of base rule in logb(x) is as follows:
 logb(x)  = Ln(x) Ln(b)

## Given b = 4 and x = 8, we have:

 log4(8)  = Ln(8) Ln(4)

 log4(8)  = 2.07944 1.38629

log4(8) = 1.5

### How does the Logarithms and Natural Logarithms and Eulers Constant (e) Calculator work?

Free Logarithms and Natural Logarithms and Eulers Constant (e) Calculator - This calculator does the following:
* Takes the Natural Log base e of a number x Ln(x) → logex
* Raises e to a power of y, ey
* Performs the change of base rule on logb(x)
* Solves equations in the form bcx = d where b, c, and d are constants and x is any variable a-z
* Solves equations in the form cedx=b where b, c, and d are constants, e is Eulers Constant = 2.71828182846, and x is any variable a-z
* Exponential form to logarithmic form for expressions such as 53 = 125 to logarithmic form
* Logarithmic form to exponential form for expressions such as Log5125 = 3

This calculator has 1 input.

### What 8 formulas are used for the Logarithms and Natural Logarithms and Eulers Constant (e) Calculator?

Ln(a/b) = Ln(a) - Ln(b)
Ln(ab)= Ln(a) + Ln(b)
Ln(e) = 1
Ln(1) = 0
Ln(xy) = y * ln(x)

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Logarithms and Natural Logarithms and Eulers Constant (e) Calculator?

euler
Famous mathematician who developed Euler's constant
logarithm
the exponent or power to which a base must be raised to yield a given number
natural logarithm
its logarithm to the base of the mathematical constant e
eLn(x) = x
power
how many times to use the number in a multiplication