Question

ln(p+5)=3

Answer 1

do you know how to get rid of natural log?

Answer 2

start by using both sides as exponents with base e. then subtract 5 from both sides. the answer is (e^3)-5

Answer 3

no i dont know how to get rid of a natural log

Answer 4

to solve ln(x) = y, the form of the solution is e^y=x

Answer 5

ok

Answer 6

so if you substitute in (p+5) for x and 3 for y (these are from the original equation) what do you get?

Answer 7

*substitute them into e^y=x

Answer 8

e^3=p+5?

Answer 9

now solve for p

Answer 10

would i subtract 5?

Answer 11

yup. and you can leave e as e or use decimal equivalent
the main point of this is that in an equation of form ln(x)=y, to get rid of ln, you take each side of the equation as an exponent with e as the base. this will get rid of the ln

Answer 12

oh ok

Answer 13

once i have subtracted the 5 how should it then look like?

Answer 14

(e^3)-5

Answer 15

decimal approximation = 15.086

Answer 16

either way works (left as e or decimal approximation)

Answer 17

ok