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

The answer to 2^{4x-2}=3 is x=(ln(12))/(4ln(2))

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

The solution is x=(ln(12))/(4ln(2))

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2^{4 x - 2} = 3

x = \frac{ln ( 12 )}{4 ln ( 2 )}

Decimal Notation

x = 0.89624 \dots

Solution steps

2^{4 x - 2} = 3

Apply exponent rules

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

Solve

(4 x - 2) ln (2) = ln (3) : x = \frac{ln ( 12 )}{4 ln ( 2 )}

x = \frac{ln ( 12 )}{4 ln ( 2 )}

4^{x} = 6^{x + 2}

3 6^{x} = 6

2^{x - 1} + 2^{x} = 48

(7)^{6 x} = 4 9^{x - 6}

4^{x - 1} = 2^{x} + 48

What is the answer to 2^{4x-2}=3 ?
The answer to 2^{4x-2}=3 is x=(ln(12))/(4ln(2))
Solve for x: 2^{4x-2}=3
The solution is x=(ln(12))/(4ln(2))