What is the answer to -14(1-2^x)=117638 ?

The answer to -14(1-2^x)=117638 is x=(ln(58826/7))/(ln(2))

Solve for x: -14(1-2^x)=117638

The solution is x=(ln(58826/7))/(ln(2))

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- 14 (1 - 2^{x}) = 117638

x = \frac{ln ( \frac{58826}{7} )}{ln ( 2 )}

Decimal Notation

x = 13.03681 \dots

Solution steps

- 14 (1 - 2^{x}) = 117638

Divide both sides by

- 14

1 - 2^{x} = - \frac{58819}{7}

Move

1

to the right side

- 2^{x} = - \frac{58826}{7}

Divide both sides by

- 1

2^{x} = \frac{58826}{7}

Apply exponent rules

x ln (2) = ln (\frac{58826}{7})

Solve

x ln (2) = ln (\frac{58826}{7}) : x = \frac{ln ( \frac{58826}{7} )}{ln ( 2 )}

x = \frac{ln ( \frac{58826}{7} )}{ln ( 2 )}

t, x = e^{3 t}

500 = (30 e^{t})

4^{3 x} + 8^{x} - 6 = 0

3^{2 x} + 2 \cdot 3^{x} = 3

4^{- x - 1} = 8

What is the answer to -14(1-2^x)=117638 ?
The answer to -14(1-2^x)=117638 is x=(ln(58826/7))/(ln(2))
Solve for x: -14(1-2^x)=117638
The solution is x=(ln(58826/7))/(ln(2))