# `3^(2x) = 80` Solve the exponential equation algebraically. Approximate the result to three decimal places.

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Student Comments

loves2learn | Student

Take the ln of both sides

`ln(3^(2x))=ln80 `

` ` Bring down the exponent

`2xln3=ln80 `

`x=ln80/(2ln3) `

`x=1.994 `