Evaluate the following logarithmic expression

1.1^h=400

Ln(1.1^{h}) = Ln(400)

Ln(a^{n}) = n * Ln(a)

Using that identity, we have

n = h and a = 1.1, so our equation becomes:

hLn(1.1) = 5.991464547108

0.095310179804325h = 5.991464547108

0.095310179804325h | |

0.095310179804325 |

= |

5.991464547108 |

0.095310179804325 |

h = **62.862797650877**

h = **62.862797650877**

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) → log_{e}x

* Raises e to a power of y, e^{y}

* Performs the change of base rule on log_{b}(x)

* Solves equations in the form b^{cx} = d where b, c, and d are constants and x is any variable a-z

* Solves equations in the form ce^{dx}=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 5^{3} = 125 to logarithmic form

* Logarithmic form to exponential form for expressions such as Log_{5}125 = 3

This calculator has 1 input.

* Takes the Natural Log base e of a number x Ln(x) → log

* Raises e to a power of y, e

* Performs the change of base rule on log

* Solves equations in the form b

* Solves equations in the form ce

* Exponential form to logarithmic form for expressions such as 5

* Logarithmic form to exponential form for expressions such as Log

This calculator has 1 input.

Ln(a/b) = Ln(a) - Ln(b)

Ln(ab)= Ln(a) + Ln(b)

Ln(e) = 1

Ln(1) = 0

Ln(x^{y}) = y * ln(x)

For more math formulas, check out our Formula Dossier

Ln(ab)= Ln(a) + Ln(b)

Ln(e) = 1

Ln(1) = 0

Ln(x

For more math formulas, check out our Formula Dossier

- 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

e^{Ln(x)}= x - power
- how many times to use the number in a multiplication

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