ln(5x + 7) = 8

Question

Not looking for an answer, I’m just stuck. Could someone give me the steps to solve this?

Answer 1

Remark:

e ^ ln ( a ) = a

So:

e^ ln ( 5 x + 7 ) = 5 x + 7
____________________

ln ( 5 x + 7 ) = 8

Cancel logarithms by taking expof both sides.

e^ ln ( 5 x + 7 ) = e ^ 8

5 x + 7 = e ^ 8

Subtract 7 to both sides

5 x + 7 - 7 = e ^ 8 - 7

5 x = e ^ 8 - 7

Divide both sides by 5

x = ( e ^ 8 - 7 ) / 5 = 1 / 5 ( e ^ 8 - 7 )

Answer 2

just ask ur teacher or math tutor