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Kellen Perkins

Kellen Perkins

Answered question

2022-05-19

Solve for: 8 log 4 x 2 9 + 3 2 log 4 ( x + 3 ) 2 = 10 + log 2 ( x 3 ) 2
My try:
8 log 4 x 2 9 + 3 2 log 4 ( x + 3 ) 2 = 10 + log 2 ( x 3 ) 2 log 2 ( x 2 9 ) 2 + 3 log 2 ( x + 3 ) 2 = 10 + log 2 ( x 3 ) 2 log 2 ( x 3 ) 2 + log 2 ( x + 3 ) 2 + 3 log 2 ( x + 3 ) 2 10 log 2 ( x 3 ) 2 = 0 log 2 ( x + 3 ) 2 + 3 log 2 ( x + 3 ) 2 10 = 0
But I don't know Conditions defined for this math? Could you help me please?

Answer & Explanation

Makai Blackwell

Makai Blackwell

Beginner2022-05-20Added 11 answers

log 2 ( x + 3 ) = y
y 2 + 3 y 10 = 0
y 1 , 2 = 3 ± 7 2 , y 1 = 2 , y 2 = 5
log 2 ( x + 3 ) = 2 , x + 3 = 4 , x = 1
log 2 ( x + 3 ) = 5 , x + 3 = 2 5 , x = 2 5 3

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