What is the answer to 2^{3x-4}=11 ?

The answer to 2^{3x-4}=11 is x=(ln(176))/(3ln(2))

Solve for x: 2^{3x-4}=11

The solution is x=(ln(176))/(3ln(2))

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2^{3 x - 4} = 11

x = \frac{ln ( 176 )}{3 ln ( 2 )}

Decimal Notation

x = 2.48647 \dots

Solution steps

2^{3 x - 4} = 11

Apply exponent rules

(3 x - 4) ln (2) = ln (11)

Solve

(3 x - 4) ln (2) = ln (11) : x = \frac{ln ( 176 )}{3 ln ( 2 )}

x = \frac{ln ( 176 )}{3 ln ( 2 )}

1 6^{t - 0.25} = \frac{1 6 ^{t}}{2}

1 = e^{1 - x^{2}}

2^{x} - 4^{x} - 72 = 0

2^{x + 1} = 300

2^{3 x} 2^{5} = 256

What is the answer to 2^{3x-4}=11 ?
The answer to 2^{3x-4}=11 is x=(ln(176))/(3ln(2))
Solve for x: 2^{3x-4}=11
The solution is x=(ln(176))/(3ln(2))