20012452 20012452
  • 18-09-2022
  • Mathematics
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What is logs (4-7)+logs2 written as a single log?
O log 21
O log 26
O log,30
O log,56

Respuesta :

semsee45
semsee45 semsee45
  • 18-09-2022

Answer:

[tex]\log_556[/tex]

Step-by-step explanation:

Given:

[tex]\log_5(4 \cdot 7)+\log_52[/tex]

Multiply the 4 and 7:

[tex]\implies \log_528+\log_52[/tex]

[tex]\textsf{Apply the Log Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]

[tex]\implies \log_5(28\cdot2)[/tex]

Multiply the 28 and 2:

[tex]\implies \log_556[/tex]

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