geoffreycsps
geoffreycsps geoffreycsps
  • 23-12-2020
  • Mathematics
contestada

What is the approximate value of x in the equation below?

log Subscript 5 Baseline 15 = x + 3
–2.523
–1.317
2.880
7.485

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-12-2020

9514 1404 393

Answer:

  -1.317

Step-by-step explanation:

  [tex]\log_5{15}=x+3 \qquad\text{given}\\\\ \dfrac{\log{15}}{\log{5}}=x+3 \qquad\text{change of base formula}\\\\x=\dfrac{\log{15}}{\log{5}}-3 \qquad\text{subtract 3}\\\\x\approx\dfrac{1.17609}{0.69897}-3\approx 1.683 -3\\\\ \boxed{x\approx -1.317}[/tex]

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Kris1Chan Kris1Chan
  • 30-12-2020

Answer:

-1.317

Step-by-step explanation:

Edge 2020

Ver imagen Kris1Chan
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