What is the answer to 92*3^{4x}=27 ?

The answer to 92*3^{4x}=27 is x=(ln(27/92))/(4ln(3))

Solve for x: 92*3^{4x}=27

The solution is x=(ln(27/92))/(4ln(3))

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92 \cdot 3^{4 x} = 27

x = \frac{ln ( \frac{27}{92} )}{4 ln ( 3 )}

Decimal Notation

x = - 0.27897 \dots

Solution steps

92 \cdot 3^{4 x} = 27

Divide both sides by

92

3^{4 x} = \frac{27}{92}

Apply exponent rules

4 x ln (3) = ln (\frac{27}{92})

Solve

4 x ln (3) = ln (\frac{27}{92}) : x = \frac{ln ( \frac{27}{92} )}{4 ln ( 3 )}

x = \frac{ln ( \frac{27}{92} )}{4 ln ( 3 )}

e^{2 x} - 4 e^{x} - 12 = 0

(x) = 2^{x + 1} - 3

4 (2^{x} + 2^{- x}) = 17

2^{2 x} + 2^{x} - 42 = 0

6^{x + 1} = 216

What is the answer to 92*3^{4x}=27 ?
The answer to 92*3^{4x}=27 is x=(ln(27/92))/(4ln(3))
Solve for x: 92*3^{4x}=27
The solution is x=(ln(27/92))/(4ln(3))