Solve the following equations: 3 2 x + 4 = 18

Ellen Chang

Ellen Chang

Answered

2022-07-01

Solve the following equations:
3 2 x + 4 = 18

Answer & Explanation

Amir Beck

Amir Beck

Expert

2022-07-02Added 13 answers

3 2 x + 4 = 18
( 3 2 ) x = 14
9 x = 14
log 9 9 x = log 9 = 14 x = log 9 14... ( 1 )
[ log a ( b c ) = c log a b ]
Change of base:
[ log a b = log c b log c a ]
ln 9 x = ln 14 x ln 9 = ln 14 x = ln 14 ln 9 . . . ( 2 )
Answer:
x = log 9 14 , x = ln 14 ln 9
Jeffrey Jordon

Jeffrey Jordon

Expert

2022-07-07Added 2575 answers

Answer is given below (on video)

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