Solve 2x+3=45/sqrt{2^22^23^56}5

$$2x+3= \frac{ 45 }{ \sqrt{ { 2 }^{ 2 } { 2 }^{ 2 } { 3 }^{ 56 } } } 5$$

Solve for x

$$x = -\frac{30502389939923}{20334926626632} = -1\frac{10167463313291}{20334926626632} \approx -1.5$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$2x+3=5\times \frac{45}{\sqrt{2^{4}\times 3^{56}}}$$

Calculate 2 to the power of 4 and get 16.

$$2x+3=5\times \frac{45}{\sqrt{16\times 3^{56}}}$$

Calculate 3 to the power of 56 and get 523347633027360537213511521.

$$2x+3=5\times \frac{45}{\sqrt{16\times 523347633027360537213511521}}$$

Multiply 16 and 523347633027360537213511521 to get 8373562128437768595416184336.

$$2x+3=5\times \frac{45}{\sqrt{8373562128437768595416184336}}$$

Calculate the square root of 8373562128437768595416184336 and get 91507169819844.

$$2x+3=5\times \frac{45}{91507169819844}$$

Reduce the fraction \frac{45}{91507169819844} to lowest terms by extracting and canceling out 9.

$$2x+3=5\times \frac{5}{10167463313316}$$

Express 5\times \frac{5}{10167463313316} as a single fraction.

$$2x+3=\frac{5\times 5}{10167463313316}$$

Multiply 5 and 5 to get 25.

$$2x+3=\frac{25}{10167463313316}$$

Subtract 3 from both sides.

$$2x=\frac{25}{10167463313316}-3$$

Convert 3 to fraction \frac{30502389939948}{10167463313316}.

$$2x=\frac{25}{10167463313316}-\frac{30502389939948}{10167463313316}$$

Since \frac{25}{10167463313316} and \frac{30502389939948}{10167463313316} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{25-30502389939948}{10167463313316}$$

Subtract 30502389939948 from 25 to get -30502389939923.

$$2x=-\frac{30502389939923}{10167463313316}$$

Divide both sides by 2.

$$x=\frac{-\frac{30502389939923}{10167463313316}}{2}$$

Express \frac{-\frac{30502389939923}{10167463313316}}{2} as a single fraction.

$$x=\frac{-30502389939923}{10167463313316\times 2}$$

Multiply 10167463313316 and 2 to get 20334926626632.

$$x=\frac{-30502389939923}{20334926626632}$$

Fraction \frac{-30502389939923}{20334926626632} can be rewritten as -\frac{30502389939923}{20334926626632} by extracting the negative sign.

$$x=-\frac{30502389939923}{20334926626632}$$