Respuesta :

chul
So I am going to assume this is a logic problem.

15(2.718282[tex] ^{−3x+1} [/tex]) + 7 = 10

Subtract 7 from both sides.

15(2.718282[tex] ^{−3x+1} [/tex]) = 3

Divide both sides by 15.

[tex] \frac{15(2.72.718282 ^{−3x+1}}{15} = \frac{3}{15} [/tex]

2.718282[tex] ^{-3x+1} [/tex] = [tex] \frac{1}{5} [/tex]

Now you solve for the exponent.

(Take log of both sides)

(−3x+1)*(log(2.718282))=log(1/5)

−3x+1 = [tex] \frac{log \frac{1}{5} }{log(2.718282) } [/tex]

−3x+1=−1.609438

−3x+1−1=−1.609438−1(Subtract 1 from both sides)

−3x=−2.609438 (divide 3 on both sides)


Answer:

x = 0.869813

or...

Rounded Answer:
0.87