misimpossible998 misimpossible998
  • 26-11-2018
  • Mathematics
contestada

given that log base x 3=p and log base x 5=q, express the following in terms of p and q: log base x 45

Respuesta :

jimrgrant1 jimrgrant1
  • 26-11-2018

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


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