Respuesta :

Given:

There are given that the value into the exponent notation.

[tex]\begin{gathered} (1)1.2^3=m \\ (2)e^b=9 \\ (3)a^4=24 \end{gathered}[/tex]

Explanation:

To rewrite the log notation, we need to use the log rule in the given function.

Then,

From the first function:

[tex]1.2^3=m[/tex]

Then,

Converting the exponential equation to a logarithmic equation using the logarithmic base (1.2) of the right side m equal to the exponent 3.

So,

The log notaion is:

[tex]\log _{1.2}(m)=3[/tex]

From the second function:

[tex]e^b=9[/tex]

Then,

The log notation is:

[tex]\log _e(9)=b[/tex]

And,

From the third function:

[tex]a^4=24[/tex]

Then,

The log notation is:

[tex]\log _a(24)=4[/tex]