Respuesta :
Answer:
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Step-by-step explanation:
Given : Log expression [tex]log_8(21)[/tex]
To find : Write the expression using the change of base formula.
Solution :
Logarithmic change of base rule formula is
[tex]log_ab=\frac{log_eb}{log_ea}[/tex]
Now, using logarithmic rule in [tex]log_8(21)[/tex]
where a=8 and b=21
[tex]log_8(21)=\frac{log_{10}21}{log_{10}8}[/tex]
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Therefore, The expression Devonte use [tex]log_8(21)=\frac{log21}{log8}[/tex]
