## Enter Logarithm

Expand the following

log_{2}(8x^{4})

Simplify log_{2}(8x^{4})

Use the logarithmic identity below

log_{b}(m)^{n} = n * log_{b}(m)

Shift the exponent of 4in front

4log

_{}(2(8x)

##### One logarithmic identity says:

log(ab) = log(a) +

With a = 8 and b = x, we have

4log_{2}(8x) = 4log_{2}(8) + 4log_{2}(x)

##### Build our final answer:

**4log**_{2}(8) + 4log_{2}(x)

##### What is the Answer?

**4log**_{2}(8) + 4log_{2}(x)

##### How does the Logarithms Calculator work?

Free Logarithms Calculator - Using the formula Log a_{b} = e, this calculates the 3 pieces of a logarithm equation:

1) Base (b)

2) Exponent

3) Log Result

In addition, it converts

* Expand logarithmic expressions

This calculator has 1 input.

### What 1 formula is used for the Logarithms Calculator?

logb(x) = Ln(x)/Ln(b)

Log(ab) = Log(a) + Log(b)

Log(b

^{n}) = n * Log(b)

For more math formulas, check out our

Formula Dossier
### What 4 concepts are covered in the Logarithms Calculator?

- base
- exponent
- The power to raise a number
- logarithm
- the exponent or power to which a base must be raised to yield a given number
- logarithms

##### Example calculations for the Logarithms Calculator

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