Answer:
[tex]5 = log_{4}x[/tex]
Step-by-step explanation:
You know that [tex]45=4^{5}[/tex]
Then: [tex]4^{5}=x[/tex]
Taking log with base 4 in both sides, we have:
[tex]log_{4} 4^{5}=log_{4}x[/tex]
Applying the logarithmic rules, we have:
[tex]log_{4}4^{5}=log_{4}x[/tex] → [tex]5log_{4}4=log_{4}x[/tex]
→ [tex]5 = log_{4}x[/tex]
In conclusion, 45 = x expressed as a logarithmic equation equals: [tex]5 = log_{4}x[/tex]
Answer:
[tex]4^5=x[/tex] as a logarithmic equation [tex]\log_4 (x)=5[/tex]
Step-by-step explanation:
Given : Expression [tex]4^5=x[/tex]
To find : Express the expression as a logarithmic equation?
Solution :
Expression [tex]4^5=x[/tex]
Taking log with base 4 both side,
[tex]\log_4(4^5)=\log_4 (x)[/tex]
Using logarithmic property, [tex]\log_a a^b=b[/tex]
[tex]5=\log_4 (x)[/tex]
Therefore, [tex]4^5=x[/tex] as a logarithmic equation [tex]\log_4 (x)=5[/tex]
