What is the answer to -15(1-2^x)=123933 ?

The answer to -15(1-2^x)=123933 is x=(ln(41316/5))/(ln(2))

Solve for x: -15(1-2^x)=123933

The solution is x=(ln(41316/5))/(ln(2))

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- 15 (1 - 2^{x}) = 123933

x = \frac{ln ( \frac{41316}{5} )}{ln ( 2 )}

Solution steps

- 15 (1 - 2^{x}) = 123933

Divide both sides by

- 15

1 - 2^{x} = - \frac{41311}{5}

Move

1

to the right side

- 2^{x} = - \frac{41316}{5}

Divide both sides by

- 1

2^{x} = \frac{41316}{5}

Apply exponent rules

x ln (2) = ln (\frac{41316}{5})

Solve

x ln (2) = ln (\frac{41316}{5}) : x = \frac{ln ( \frac{41316}{5} )}{ln ( 2 )}

x = \frac{ln ( \frac{41316}{5} )}{ln ( 2 )}

2^{x} = (0.0625)^{- 14}

2 7^{2 x - 3} = 93

2^{x} = (0.25)^{x - 1}

4^{x - 1} = 64

4 + 6^{2 x + 3} = 14

What is the answer to -15(1-2^x)=123933 ?
The answer to -15(1-2^x)=123933 is x=(ln(41316/5))/(ln(2))
Solve for x: -15(1-2^x)=123933
The solution is x=(ln(41316/5))/(ln(2))