What is the answer to 66.1=120-120e^{k(0.5)} ?

The answer to 66.1=120-120e^{k(0.5)} is k=-1.60072…

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66.1=120-120e^{k(0.5)}

66.1 = 120 - 120 e^{k (0.5)}

k = - 1.60072 \dots

Solution steps

66.1 = 120 - 120 e^{k (0.5)}

Switch sides

120 - 120 e^{k 0.5} = 66.1

Move

120

to the right side

- 120 e^{k 0.5} = - 53.9

Divide both sides by

- 120

e^{k 0.5} = 0.44916 \dots

Apply exponent rules

k \cdot 0.5 = ln (0.44916 \dots)

Solve

k \cdot 0.5 = ln (0.44916 \dots) : k = - 1.60072 \dots

k = - 1.60072 \dots

0 = 0.9 8^{X}

4^{x + 4} = 5^{x}

8 x = 3. 2^{6 x}

1 0^{x - 1} = 8 \cdot 3^{x}

x = e^{1 - x}

What is the answer to 66.1=120-120e^{k(0.5)} ?
The answer to 66.1=120-120e^{k(0.5)} is k=-1.60072…