149k views
4 votes
What is the value of log ⁡ 5 5 4

What is the value of log ⁡ 5 5 4-example-1

1 Answer

4 votes

Answer:


(1)/(4)

Explanation:

using the rule of logarithms


log_(b) x = n ⇒ x =
b^(n)

also the rule of exponents/ radicals


\sqrt[n]{a^(m) } =
a^{(m)/(n) }

let


log_(5)
\sqrt[4]{5} = n , then


\sqrt[4]{5} =
5^(n) , that is


5^{(1)/(4) } =
5^(n)

since bases on both sides are the same, both 5 , then equate the exponents

n =
(1)/(4) ( = 0.25 )

User James Barrett
by
7.8k points