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

Students were asked to answer a question at school and to state what is most important for them to succeed. Of the numerous results, one which that stood out was practice. Persons who are definitely successful do not become successful by being born. They work hard and commitment their lives to succeeding. If you would like to complete your goals, keep this in mind! Below some question and answer examples that you may possibly utilize to enhance your knowledge and gain insight that will assist you to sustain your school studies.

Question:

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

Answer:

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

They may possibly hopefully assist the student sort out the question by obtaining the questions and answer examples. You may possibly then have a discussion with your classmate and continue the school learning by studying the problem with one another.

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