Solve the following equations: log_2x+log_2(3x)=4

Maliyah Robles

Maliyah Robles

Answered question

2022-07-01

Solve the following equations:
log 2 x + log 2 ( 3 x ) = 4

Answer & Explanation

Jaelynn Cuevas

Jaelynn Cuevas

Beginner2022-07-02Added 16 answers

log 2 x + log 2 ( 3 x ) = 4
[ : log a ( m ) + log a ( n ) = log a ( m n ) ]
log 2 ( x 3 x ) = 4
log 2 ( 3 x 2 ) = 4
2 4 = 3 x 2 , x = 4 3 3
16 3 = x 2 , x = 4 3 3
± 16 3 = x
± 16 3 = ± 4 3 3 3 = ± 4 3 3
Answer: x = 4 3 3
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-07Added 2605 answers

Answer is given below (on video)

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