Give the domain on which the equation is defined. In particular, describe the set of x for which the equation is defined, using interval notation.

Solve for the unknown variable. Show all your work.

e^ (x-5) * e^ (3x+8) = 19

Question

Mathematics

Derek Rodgers

13 July, 16:38

Give the domain on which the equation is defined. In particular, describe the set of x for which the equation is defined, using interval notation.

Solve for the unknown variable. Show all your work.

e^ (x-5) * e^ (3x+8) = 19

+2

Answers (1)

Know the Answer?

Yair Terry · Answer 1

law's of exponents

e^ (x-5) * e^ (3x+8) = 19

e^ (x-5+3x+8) = 19

e^ (4x+3) = 19

take the natural log, which is base "e" of both sides.

ln[e^ (4x+3) ] = ln[19]

4x + 3 = ln[19]

4x = ln[19] - 3

x = (ln[19] - 3) / 4

x = - 0.0139

Give the domain on which the equation is defined. In particular, describe the set of x for which the equation is defined, using interval notation.Solve for the unknown variable. Show all your work.e^ (x-5) * e^ (3x+8) = 19

Give the domain on which the equation is defined. In particular, describe the set of x for which the equation is defined, using interval notation.

Solve for the unknown variable. Show all your work.

e^ (x-5) * e^ (3x+8) = 19