Answer:
m = 3.53972077085
Step-by-step explanation:
-3 × [tex]e^{2m - 5}[/tex] - 3 = -27
Subtracting -3 from both sides of the equation gives;
-3 × [tex]e^{2m - 5}[/tex] = -24
Dividing by -3 on both sides of the equation gives;
[tex]e^{2m - 5}[/tex] = 8
Let 2m - 5 = x
xloge = 3log2
x = [tex]\frac{3log2}{loge}[/tex] = 2.0794415417
So,
2m - 5 = 2.0794415417
2m = 2.0794415417 + 5
2m = 7.0794415417
Dividing by 2 on both sides of the equation gives:
m = 3.53972077085
