Can someone please help me solve this:

\[\log_4(x^5) = 20\]

l o g 4 ​ x 5 = 20 l o g 4 ​ x 5 = l o g 4 ​ 4 20 ⟺ x 5 = 4 20 x 5 = 4 4 ⋅ 5 x 5 = ( 4 4 ) 5 ⟺ x = 4 4 ⇒ x = 256 D : x ∈ R +

Answered by Anonymous | 2024-06-10

To solve lo g 4 ​ ( x 5 ) = 20 , we convert it to exponential form and find x 5 = 4 20 . This gives us x = 256 after simplifying. The solution is valid as x must be positive.
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Answered by Anonymous | 2024-12-23