Expand the following

log2(8x4)

Simplify log2(8x4)

Use the logarithmic identity below

logb(m)n = n * logb(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

4log2(8x) = 4log2(8) + 4log2(x)

Build our final answer:


4log2(8) + 4log2(x)


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What is the Answer?
4log2(8) + 4log2(x)
How does the Logarithms Calculator work?
Free Logarithms Calculator - Using the formula Log ab = 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(bn) = n * Log(b)
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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