Question

Write each exponential equation in logarithmic form.2.4° = 1

Answer 1

We have to write the exponential equation in logarithmic form.

The equation is:

`2.4^0=1`

We will use the definition of logarithm:

`\log _b(a)=c\Leftrightarrow b^c=a`

In this case: b = 2.4, c = 0 and a = 1.

Then, we can write:

`\log _(2.4)(1)=0`

As a rule, we know that any logarithm of 1 has a value of 0. This is the counterpart of the fact that any number to the power 0 is equal to 1.

Answer:

the equivalent logartihmic expression is log_2.4(1) = 0