What is the answer to 8*3^{4x}=1 ?

The answer to 8*3^{4x}=1 is x=-(3ln(2))/(4ln(3))

Solve for x: 8*3^{4x}=1

The solution is x=-(3ln(2))/(4ln(3))

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8 \cdot 3^{4 x} = 1

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

Decimal Notation

x = - 0.47319 \dots

Solution steps

8 \cdot 3^{4 x} = 1

Divide both sides by

8

3^{4 x} = \frac{1}{8}

Apply exponent rules

4 x ln (3) = ln (\frac{1}{8})

Solve

4 x ln (3) = ln (\frac{1}{8}) : x = - \frac{3 ln ( 2 )}{4 ln ( 3 )}

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

73 = 2 7^{x}

7^{3^{x}} = \frac{1}{49}

4^{x + 7} = 5

7^{(3 - x)} = 5^{(x + 1)}

2 (3^{7 - 2 x}) + 48 = 102

What is the answer to 8*3^{4x}=1 ?
The answer to 8*3^{4x}=1 is x=-(3ln(2))/(4ln(3))
Solve for x: 8*3^{4x}=1
The solution is x=-(3ln(2))/(4ln(3))