Solve 4x+5=(1/2)^6

$$4 x + 5 = ( \frac { 1 } { 2 } ) ^ { 6 }$$

Solve for x

$$x = -\frac{319}{256} = -1\frac{63}{256} = -1.24609375$$

Steps for Solving Linear Equation

Calculate \frac{1}{2} to the power of 6 and get \frac{1}{64}.

$$4x+5=\frac{1}{64}$$

Subtract 5 from both sides.

$$4x=\frac{1}{64}-5$$

Convert 5 to fraction \frac{320}{64}.

$$4x=\frac{1}{64}-\frac{320}{64}$$

Since \frac{1}{64} and \frac{320}{64} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{1-320}{64}$$

Subtract 320 from 1 to get -319.

$$4x=-\frac{319}{64}$$

Divide both sides by 4.

$$x=\frac{-\frac{319}{64}}{4}$$

Express \frac{-\frac{319}{64}}{4} as a single fraction.

$$x=\frac{-319}{64\times 4}$$

Multiply 64 and 4 to get 256.

$$x=\frac{-319}{256}$$

Fraction \frac{-319}{256} can be rewritten as -\frac{319}{256} by extracting the negative sign.

$$x=-\frac{319}{256}$$