Evaluate the answer of the logarithmic expression Base 0

b

Base 0

Base 0

log

Let's call our missing base b. Therefore, our logarithmic equation becomes:

b

We need to isolate b, so we take the Natural Log (described later) of both sides. We get:

Ln(b

One of the logarithmic identities states the following:

Ln(b

Using this, we rewrite our logarithimic equation below:

* Ln(b) = Ln() <--- Using our logartithmic identity above

Next, we divide both sides of the equation by to isolate b:

Ln(b) = | Ln() |

The natural log, denoted Ln, is a special type of log that uses a base named e.

e = 2.

Ln() is what power we have to raise e to in order to get .

Using a calculator or guess and check method, we simplify our equation:

Ln(b) = | |

Ln(b) =

Another logarithmic identity states the following:

e

Using this, we rewrite our logarithimic equation below:

e

b = 2.

b =

log

Let's call our missing power n. Therefore, our logarithmic equation becomes:

log

Expressing this in logarithmic terms, we get:

2.

We need to isolate n, so we take the Natural Log (described later) of both sides. We get:

Ln() = Ln(2.

One of the logarithmic identities states the following:

Log(b

Using this, we rewrite our logarithimic equation below:

Ln() = n * Ln(2.) <--- Using our logartithmic identity above

Next, we divide both sides of the equation by Ln(2.) to isolate n:

n = | Ln() |

Ln(2.) |

The natural log, denoted Ln, is a special type of log that uses a base named e.

e = 2.

Ln() is what power we have to raise e to in order to get .

Ln(2.) is what power we have to raise e to in order to get 2..

Using a calculator or guess and check method, we simplify and solve for n:

n = | |

1 |

In mathematical terms, this means base 2.

In logarithmic terms, we now have: