So I am going to assume this is a logic problem.
15(2.718282\(^{−3x+1}\)) + 7 = 10
Subtract 7 from both sides.
15(2.718282\(^{−3x+1}\)) = 3
Divide both sides by 15.
\(\frac{15(2.72.718282 ^{−3x+1}}{15} = \frac{3}{15}\)
2.718282\(^{-3x+1}\) = \(\frac{1}{5}\)
Now you solve for the exponent.
(Take log of both sides)
(−3x+1)*(log(2.718282))=log(1/5)
−3x+1 = \(\frac{log \frac{1}{5} }{log(2.718282)
}\)
−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
