What is the answer to -1(1-2^x)=2094 ?

The answer to -1(1-2^x)=2094 is x=(ln(2095))/(ln(2))

Solve for x: -1(1-2^x)=2094

The solution is x=(ln(2095))/(ln(2))

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- 1 (1 - 2^{x}) = 2094

x = \frac{ln ( 2095 )}{ln ( 2 )}

Decimal Notation

x = 11.03273 \dots

Solution steps

- 1 \cdot (1 - 2^{x}) = 2094

Divide both sides by

- 1

1 - 2^{x} = - 2094

Move

1

to the right side

- 2^{x} = - 2095

Divide both sides by

- 1

2^{x} = 2095

Apply exponent rules

x ln (2) = ln (2095)

Solve

x ln (2) = ln (2095) : x = \frac{ln ( 2095 )}{ln ( 2 )}

x = \frac{ln ( 2095 )}{ln ( 2 )}

4^{x} \cdot 3^{2 x} = 6

e^{x^{2}} = e^{7 x - 12}

100 = 65 + 145 e^{- 0.05 \times x}

3 e^{4 x} = 6 e^{7 x}

y, e^{x y} = 0

What is the answer to -1(1-2^x)=2094 ?
The answer to -1(1-2^x)=2094 is x=(ln(2095))/(ln(2))
Solve for x: -1(1-2^x)=2094
The solution is x=(ln(2095))/(ln(2))