log1000

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Enter natural log statement

Evaluate the following logarithmic expression

log1000

Evaluate log1000

You didn't enter a base

We'll do bases e and 2-10

Evaluate loge(1000) 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 = e and x = 1000, we have:
loge(1000)  =  Ln(1000)
  Ln(e)

Ln(e) = 1

loge(1000) = 6.9077552789821

Evaluate log2(1000) 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 = 2 and x = 1000, we have:
log2(1000)  =  Ln(1000)
  Ln(2)

log2(1000) = 9.9657842846621

Evaluate log3(1000) 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 = 3 and x = 1000, we have:
log3(1000)  =  Ln(1000)
  Ln(3)

log3(1000) = 6.2877098228682

Evaluate log4(1000) 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 = 1000, we have:
log4(1000)  =  Ln(1000)
  Ln(4)

log4(1000) = 4.982892142331

Evaluate log5(1000) 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 = 5 and x = 1000, we have:
log5(1000)  =  Ln(1000)
  Ln(5)

log5(1000) = 4.2920296742202

Evaluate log6(1000) 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 = 6 and x = 1000, we have:
log6(1000)  =  Ln(1000)
  Ln(6)

log6(1000) = 3.8552916268154

Evaluate log7(1000) 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 = 7 and x = 1000, we have:
log7(1000)  =  Ln(1000)
  Ln(7)

log7(1000) = 3.5498839873648

Evaluate log8(1000) 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 = 8 and x = 1000, we have:
log8(1000)  =  Ln(1000)
  Ln(8)

log8(1000) = 3.3219280948874

Evaluate log9(1000) 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 = 9 and x = 1000, we have:
log9(1000)  =  Ln(1000)
  Ln(9)

log9(1000) = 3.1438549114341

Evaluate log10(1000) 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 = 10 and x = 1000, we have:
log10(1000)  =  Ln(1000)
  Ln(10)

log10(1000) = 3

Final Answer

loge(1000) = 6.9077552789821
log2(1000) = 9.9657842846621
log3(1000) = 6.2877098228682
log4(1000) = 4.982892142331
log5(1000) = 4.2920296742202
log6(1000) = 3.8552916268154
log7(1000) = 3.5498839873648
log8(1000) = 3.3219280948874
log9(1000) = 3.1438549114341
log10(1000) = 3

You have 1 free calculations remaining


What is the Answer?

loge(1000) = 6.9077552789821
log2(1000) = 9.9657842846621
log3(1000) = 6.2877098228682
log4(1000) = 4.982892142331
log5(1000) = 4.2920296742202
log6(1000) = 3.8552916268154
log7(1000) = 3.5498839873648
log8(1000) = 3.3219280948874
log9(1000) = 3.1438549114341
log10(1000) = 3

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?

eulerFamous mathematician who developed Euler's constantlogarithmthe exponent or power to which a base must be raised to yield a given numbernatural logarithmits logarithm to the base of the mathematical constant e
eLn(x) = xpowerhow many times to use the number in a multiplication

Example calculations for the Logarithms and Natural Logarithms and Eulers Constant (e) Calculator

Logarithms and Natural Logarithms and Eulers Constant (e) Calculator Video


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