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Kay [80]
3 years ago
6

-3•e^(2m-5)-3=-27 how to solve

Mathematics
1 answer:
zzz [600]3 years ago
3 0

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

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