Solve sin(log_{pi}5)=7/x

$$\sin ( \log _ { \pi } 5 ) = \frac { 7 } { x }$$

Solve for x

$$x = \frac{2187500000000000}{308263841100261} = 7\frac{29653112298173}{308263841100261} \approx 7.096193936$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.9864442915208352 = \frac{7}{x}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$0.9864442915208352x=7$$

Divide both sides by 0.9864442915208352.

$$x=\frac{7}{0.9864442915208352}$$

Expand \frac{7}{0.9864442915208352} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{70000000000000000}{9864442915208352}$$

Reduce the fraction \frac{70000000000000000}{9864442915208352} to lowest terms by extracting and canceling out 32.

$$x=\frac{2187500000000000}{308263841100261}$$