maddieg7741 maddieg7741
  • 22-10-2019
  • Mathematics
contestada

39. Rewrite each expression as an equivalent expression containing only one logarithm.
a. 3 ln(p + q) − 2 ln(q) − 7 ln(p)

Respuesta :

Manetho
Manetho Manetho
  • 22-10-2019

Answer:

[tex]ln{\frac{(p+q)^3}{q^2p^7} }[/tex]

Step-by-step explanation:

3 ln(p + q) − 2 ln(q) − 7 ln(p)

=ln(p+q)^3- ln(q)^2-ln(p)^7

= ln(p+q)^3-{ln(q)^2+ln(p)^7}

=ln(p+q)^3-ln(q)^2*(p)^7

=ln{ (p+q)^3÷(q)^2*(p)^7}

=[tex]ln{\frac{(p+q)^3}{q^2p^7} }[/tex]

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