What is the answer to -15*2^{-0.5x}=-90 ?

The answer to -15*2^{-0.5x}=-90 is x=-(ln(6))/(0.5ln(2))

Solve for x: -15*2^{-0.5x}=-90

The solution is x=-(ln(6))/(0.5ln(2))

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- 15 \cdot 2^{- 0.5 x} = - 90

x = - \frac{ln ( 6 )}{0.5 ln ( 2 )}

Decimal Notation

x = - 5.16992 \dots

Solution steps

- 15 \cdot 2^{- 0.5 x} = - 90

Divide both sides by

- 15

2^{- 0.5 x} = 6

Apply exponent rules

- 0.5 x ln (2) = ln (6)

Solve

- 0.5 x ln (2) = ln (6) : x = - \frac{ln ( 6 )}{0.5 ln ( 2 )}

x = - \frac{ln ( 6 )}{0.5 ln ( 2 )}

4 \cdot 2^{5 x} = 21

5 (2^{3 x}) = 8

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

2^{5 x - 2} = 2^{x}

x, e^{x - 3} = 2

What is the answer to -15*2^{-0.5x}=-90 ?
The answer to -15*2^{-0.5x}=-90 is x=-(ln(6))/(0.5ln(2))
Solve for x: -15*2^{-0.5x}=-90
The solution is x=-(ln(6))/(0.5ln(2))