What is the answer to 2^{4x+3}=6 ?

The answer to 2^{4x+3}=6 is x=(ln(3/4))/(4ln(2))

Solve for x: 2^{4x+3}=6

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

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2^{4 x + 3} = 6

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

Decimal Notation

x = - 0.10375 \dots

Solution steps

2^{4 x + 3} = 6

Apply exponent rules

(4 x + 3) ln (2) = ln (6)

Solve

(4 x + 3) ln (2) = ln (6) : x = \frac{ln ( \frac{3}{4} )}{4 ln ( 2 )}

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

e^{2 x} + 42 = - 13 e^{x}

2^{3 x + 1} \cdot 8^{x - 1} = 128

e^{3 - 2 x} = 8 - 3 x

2^{4 x + 3} = 512

a, ln (x^{(2 - a)}) = 4

What is the answer to 2^{4x+3}=6 ?
The answer to 2^{4x+3}=6 is x=(ln(3/4))/(4ln(2))
Solve for x: 2^{4x+3}=6
The solution is x=(ln(3/4))/(4ln(2))