Respuesta :

Answer:

A

C

Step-by-step explanation:

recall the following rule:

[tex]n^x=y\\log_ny=x[/tex]

to solve the first one we have

[tex]40(10^x)=15\\10^x=\frac{15}{40}\\x=log(\frac{15}{40})[/tex]

This is equal to

[tex]\frac{log\frac{15}{40}}{log10}[/tex] or A

same deal for the second one

[tex]10^x=\frac{25}{50}\\x=log{\frac{25}{50}=\frac{log(\frac{25}{50})}{log10}[/tex] or C