Respuesta :
Answer: The required exponential form of the given equation is
[tex]7^y=90.[/tex]
Step-by-step explanation: We are given to write the exponential form of the following logarithmic equation :
[tex]\log_790=y.[/tex]
We will be using the following property of logarithms :
[tex]\log_ab=c~~~\Rightarrow b=a^c.[/tex]
Therefore, the given equation implies that
[tex]\log_790=y\\\\\Rightarrow 90=7^y\\\\\Rightarrow 7^y=90.[/tex]
Thus, the required exponential form of the given equation is
[tex]7^y=90.[/tex]