Respuesta :

Answer:

[tex]\frac{2}{3}=log_84[/tex]

Explanations:

Given the exponential expression

[tex]8^{\frac{2}{3}}=4[/tex]

Give the general exponential equation

[tex]a^b=y[/tex]

The equivalent logarithmic functions is given as:

[tex]log_ay=b[/tex]

Compared with the exponential function:

• a = 8

,

• b = 2/3

,

• y = 4

Substitute into the logarithm equivalent:

[tex]\begin{gathered} log_84=\frac{2}{3} \\ Swap \\ \frac{2}{3}=log_84 \end{gathered}[/tex]