What is the answer to 11*2^{3x}=1 ?

The answer to 11*2^{3x}=1 is x=-(ln(11))/(3ln(2))

Solve for x: 11*2^{3x}=1

The solution is x=-(ln(11))/(3ln(2))

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11 \cdot 2^{3 x} = 1

x = - \frac{ln ( 11 )}{3 ln ( 2 )}

Decimal Notation

x = - 1.15314 \dots

Solution steps

11 \cdot 2^{3 x} = 1

Divide both sides by

11

2^{3 x} = \frac{1}{11}

Apply exponent rules

3 x ln (2) = ln (\frac{1}{11})

Solve

3 x ln (2) = ln (\frac{1}{11}) : x = - \frac{ln ( 11 )}{3 ln ( 2 )}

x = - \frac{ln ( 11 )}{3 ln ( 2 )}

2^{8 p} = 2^{5 p + 15}

n, ln (x^{n} y^{n}) = c

2 = 1.1 2^{n}

2 \cdot 4^{x} + 2^{x} = 1

8^{x - 2} = 5

What is the answer to 11*2^{3x}=1 ?
The answer to 11*2^{3x}=1 is x=-(ln(11))/(3ln(2))
Solve for x: 11*2^{3x}=1
The solution is x=-(ln(11))/(3ln(2))