Solve for y in the equation below 4^(-6y)=11

Juan Lowe

Juan Lowe

Answered question

2022-11-14

Solve for y in the equation below
4 6 y = 11

Answer & Explanation

Prezrenjes0n

Prezrenjes0n

Beginner2022-11-15Added 19 answers

We will solve the given equation using the log function.
Recall the basic equation of logarithm shown on the white board. All logs are to the natural base e and hence are shown as ln.
ln ( a x ) = x ln ( a ) 4 6 y = 11 ln ( 4 6 y ) = ln 11 6 y ln ( 4 ) = ln ( 11 ) y = ln 11 6 ln 4 = 2.3979 6 × 1.3863 = 0.29

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