Question
ln(5x + 7) = 8
Not looking for an answer, I’m just stuck. Could someone give me the steps to solve this?
Not looking for an answer, I’m just stuck. Could someone give me the steps to solve this?
Answers
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 )
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 )
just ask ur teacher or math tutor
Related Questions
Find the arc length of x=(y-1)^3/2 from the point (0,1) to (8,5) give an exact answer.
I have been...
if my car is stuck in the mud, and the tow truck from aaa gets stuck too, who does aaa call to give...
Select the correct answer from the list that best completes the excerpt.(1 point)
“Let me give you...
Select the correct answer from the list that best completes the excerpt.(1 point)
“Let me give you...