What is the answer to -50(1-2^x)=123723 ?

The answer to -50(1-2^x)=123723 is x=(ln(123773/50))/(ln(2))

Solve for x: -50(1-2^x)=123723

The solution is x=(ln(123773/50))/(ln(2))

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- 50 (1 - 2^{x}) = 123723

x = \frac{ln ( \frac{123773}{50} )}{ln ( 2 )}

Decimal Notation

x = 11.27348 \dots

Solution steps

- 50 (1 - 2^{x}) = 123723

Divide both sides by

- 50

1 - 2^{x} = - \frac{123723}{50}

Move

1

to the right side

- 2^{x} = - \frac{123773}{50}

Divide both sides by

- 1

2^{x} = \frac{123773}{50}

Apply exponent rules

x ln (2) = ln (\frac{123773}{50})

Solve

x ln (2) = ln (\frac{123773}{50}) : x = \frac{ln ( \frac{123773}{50} )}{ln ( 2 )}

x = \frac{ln ( \frac{123773}{50} )}{ln ( 2 )}

4^{x} (1 - 4^{- 2 x}) = 3

100 = 320 e^{- 3.1 t}

7^{2 x - 3} = 14

\frac{50}{1 + e ^{- x}} = 3

100 - 100 (\frac{1}{4})^{x} = 70

What is the answer to -50(1-2^x)=123723 ?
The answer to -50(1-2^x)=123723 is x=(ln(123773/50))/(ln(2))
Solve for x: -50(1-2^x)=123723
The solution is x=(ln(123773/50))/(ln(2))