What is the answer to -100*2^{0.5y}=-5 ?

The answer to -100*2^{0.5y}=-5 is y=-(ln(20))/(0.5ln(2))

Solve for y: -100*2^{0.5y}=-5

The solution is y=-(ln(20))/(0.5ln(2))

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- 100 \cdot 2^{0.5 y} = - 5

y = - \frac{ln ( 20 )}{0.5 ln ( 2 )}

Decimal Notation

y = - 8.64385 \dots

Solution steps

- 100 \cdot 2^{0.5 y} = - 5

Divide both sides by

- 100

2^{0.5 y} = \frac{1}{20}

Apply exponent rules

0.5 y ln (2) = ln (\frac{1}{20})

Solve

0.5 y ln (2) = ln (\frac{1}{20}) : y = - \frac{ln ( 20 )}{0.5 ln ( 2 )}

y = - \frac{ln ( 20 )}{0.5 ln ( 2 )}

7^{x^{2} - 3 x + 2} = 1

8^{2 x + 1} = 4^{1 - x}

e^{x^{2} + 2} = 57

9^{x} = 2 7^{2 - 2 x}

e^{x - 1} = e^{2 (x + 1)}

What is the answer to -100*2^{0.5y}=-5 ?
The answer to -100*2^{0.5y}=-5 is y=-(ln(20))/(0.5ln(2))
Solve for y: -100*2^{0.5y}=-5
The solution is y=-(ln(20))/(0.5ln(2))