sk8rratz sk8rratz
  • 19-07-2022
  • Mathematics
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Question 3
Show work and solve 3 = 5*+1 using change of base formula.

Question 3 Show work and solve 3 51 using change of base formula class=

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Medunno13
Medunno13 Medunno13
  • 26-07-2022

Answer: [tex]x=\frac{\log (3/5)}{\log 5}[/tex]

Step-by-step explanation:

[tex]3=5^{x+1}\\\\\log_{5} 3=x+1\\\\x=\log_{5} 3-1\\\\x=\log_{5} 3-\log_{5} 5\\\\x=\log_{5} \left(\frac{3}{5} \right)\\\\x=\frac{\log (3/5)}{\log 5}[/tex]

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