What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x? 3 3RootIndex 3 StartRoot 4 EndRoot 6RootIndex 3 StartRoot 3 EndRoot 27
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Given : function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x f(x) = (1/4) (∛108)ˣ
To find : Simplify and choose correct option
Solution:
f(x) = (1/4) (∛108)ˣ
108 = 2 * 2 * 3 * 3 * 3
=> f(x) = (1/4) (∛( 2 * 2 * 3 * 3 * 3 ))ˣ
=> f(x) = (1/4) (∛(4 * 3³ ))ˣ
=> f(x) = (1/4) (∛(4))ˣ (∛( 3³))ˣ
=> f(x) = (1/4) (∛(4))ˣ (3)ˣ
=> f(x) = (1/4) (3∛(4))ˣ
∛108 = 3∛4
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Answered by
2
Answer:
b
Step-by-step explanation:
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