# What is the solution to 4log4(x+8)=4^2

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## Question:

What is the solution to 4log4(x+8)=4^2

4log₄(x+8)=4²
⇒ log₄(x+8) = 4²:4
⇒ log₄(x+8)= 4
⇒ x+8 = 4⁴
⇒ x+8 = 256
⇒ x = 256 – 8
⇒ x = 248

Verification : 4log₄(248+8) = 4log₄256 = 4*4 = 4² = 16 – TRUE

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