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log2(8x^4/5)

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Expand the following
log2(8x4/5)

A logarithmic identity states:

log(a) - log(b)  =  log(a)
  log(b)

With a = 8x4 and b = 5, we have
log2(8x4) - log2(5)

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)

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What is the Answer?

4log2(8) + 4log2(x) -log2(5)

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)

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

  1. log 1000
  2. log(85)
  3. log of 200
  4. logarithm of 500
  5. 5^3=125
  6. log4(8)
  7. log2(8x^4/5)
  8. log2(8x^4)

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