Question

Solve for the exact value of x 3In(8x-10)+15=6

Answer 1

Explanation:

3 ln (8x-10) + 15 = 6 >Subtract 15 from both sides

3 ln (8x-10) = -9 >Divide both sides by 3

ln (8x -10) = -3 > take the e of both sides

`e^(ln(8x-10)) = e^(-3)` >
`e^(ln) = 1`

8x -10 =
`e^(-3)` > deal with - exponent

8x - 10 =
`(1)/(e^(3) )` > add 10 to both sides

`8x = (1)/(e^(3) )+10` > dived both sides by 8 or mulitply by 1/8

`x = (1)/(8)( (1)/(e^(3) )+10)` >Distribute

`x = (1)/(8e^(3) )+(10)/(8)` > Reduce

`x = (1)/(8e^(3) )+(5)/(4)`