Solve the equation. − 3 2 − x = − 81

Baladdaa9

Baladdaa9

Answered

2022-07-25

Solve the equation.
3 2 x = 81

Answer & Explanation

grocbyntza

grocbyntza

Expert

2022-07-26Added 25 answers

3 ( 2 x ) = 81 take a ln ( ) on both sides
( 2 x ) ln ( 3 ) = ln ( 81 )
x = [ ln ( 3 ) ln ( 81 ) ] / ln ( 3 ) or
x = 1 ln ( 81 ) / ln ( 3 ) = 1 4
x= -3
Note: Properties of logs used here are To reviewclick here
1. log b ( x n ) = n log b x.
2. log b x = log a x / log a b. this is why ln ( 81 ) / ln ( 3 ) = log 3 ( 81 ) = log 3 ( 3 4 ) = 4
Israel Hale

Israel Hale

Expert

2022-07-27Added 5 answers

3 ( 2 x ) = 81
3 ( 2 x ) = 81
= ( 3 ) 4
( 2 x ) = 4....................................[equating the exponent parts]
x = 2 4
= -2
Answer: x = - 2

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