Respuesta :

Answer:

[tex]log_{x}[/tex]45 = 2p + q

Step-by-step explanation:

using the laws of logarithms

• log x + log y = log(xy)

• log[tex]x^{n}[/tex] ⇔ nlogx

[tex]log_{x}[/tex]45 = [tex]log_{x}[/tex](3² × 5 )

= log 3² + log 5 ( to base x )

= 2log 3 + log 5 ( to base x )

= 2p + q