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

What is the value of the equation? 5^3log54-example-1
User Sam Gammon
by
7.0k points

2 Answers

4 votes

Answer:

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

User Yichz
by
6.7k points
1 vote

Answer:

  • 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
User Jimmyjambles
by
6.3k points