What is the answer to -6*2^{0.1x}=-100 ?

The answer to -6*2^{0.1x}=-100 is x=(ln(50/3))/(0.1ln(2))

Solve for x: -6*2^{0.1x}=-100

The solution is x=(ln(50/3))/(0.1ln(2))

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- 6 \cdot 2^{0.1 x} = - 100

x = \frac{ln ( \frac{50}{3} )}{0.1 ln ( 2 )}

Decimal Notation

x = 40.58893 \dots

Solution steps

- 6 \cdot 2^{0.1 x} = - 100

Divide both sides by

- 6

2^{0.1 x} = \frac{50}{3}

Apply exponent rules

0.1 x ln (2) = ln (\frac{50}{3})

Solve

0.1 x ln (2) = ln (\frac{50}{3}) : x = \frac{ln ( \frac{50}{3} )}{0.1 ln ( 2 )}

x = \frac{ln ( \frac{50}{3} )}{0.1 ln ( 2 )}

5^{x} = 26

5^{2 x - 1} = 125

- 2 \cdot 1 0^{4 x} = - 300

What is the answer to -6*2^{0.1x}=-100 ?
The answer to -6*2^{0.1x}=-100 is x=(ln(50/3))/(0.1ln(2))
Solve for x: -6*2^{0.1x}=-100
The solution is x=(ln(50/3))/(0.1ln(2))