`8(10^(3x)) = 12` Solve the exponential equation algebraically. Approximate the result to three decimal places.

loves2learn | Student

Divide both sides by 8

`10^(3x)=1.5 `

Take the ln of both sides

`ln(10^(3x))=ln1.5 `

Bring down the ` 3x` by log rules

`3xln(10)=ln1.5 `

`x=(ln1.5)/(3(ln(10))) `

`x=0.059 `