breathejustbreathe
breathejustbreathe breathejustbreathe
  • 08-03-2019
  • Mathematics
contestada

What is 2(log3(8) + log3(z)) - log3(3^4 - 7^2) written as a simple logarithm?

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znk
znk znk
  • 08-03-2019

Answer:

log₃(2z²)  

Step-by-step explanation:

  2(log₃8    +  log₃z) -   log₃(3⁴ - 7²)  

= 2[log₃(2³) + log₃z]  -   log₃(81 - 49)

= 2(3log₃2  + log₃z)  -   log₃(32)

=    6log₃2  + 2log₃z -   log₃(2⁵)

=    6log₃2  + 2log₃z - 5log₃2

=      log₃2  +   log₃(z²)

=      log₃(2z²)

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kellyfengwashere kellyfengwashere
  • 27-06-2019

Answer:

the answer is

B on edge

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