Question

What is the value of the equation? 5^3log54

Answer 1

64

Explanation:

Given expression:

`5^(3 \log_54)`

Apply log rules to find the value of the given expression.

`\textsf{Apply the log power law}: \quad n\log_ax=\log_ax^n`

`\implies 5^(\log_54^3)`

`\implies 5^(\log_564)`

`\textsf{Apply\:the\;log\:rule}:\quad \:a^(\log _a\left(b\right))=b`

`\implies 5^(\log_564)=64`

Answer 2

• The value of the expression is 64

Explanation:

Given expression

• 
  `5^(3log_54)`

Find its value

• 
  `5^(3log_54) =`
• 
  `5^(log_54^3) =`
• 
  `5^(log_564)=`
• 
  `64`

Used properties:

• 
  `a*lob_bc= log_bc^a`
• 
  `a^(log_ab)=b`