Question

-3•e^(2m-5)-3=-27 how to solve

Answer 1

Answer:

m = 3.53972077085

Step-by-step explanation:

-3 × $e^{2m - 5}$ - 3 = -27

Subtracting -3 from both sides of the equation gives;

-3 × $e^{2m - 5}$  = -24

Dividing by -3 on both sides of the equation gives;

$e^{2m - 5}$ = 8

Let 2m - 5 = x

xloge = 3log2

x = $\frac{3log2}{loge}$ = 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