Solve tan3^a=x/0.96

$$\tan 3 ^ { a } = \frac { x } { 0.96 }$$

Solve for x

$$x=\frac{24\tan(3^{a})}{25}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }a=\log_{3}\left(\pi n_{1}+\frac{\pi }{2}\right)$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{0.96}=\tan(3^{a})$$

The equation is in standard form.

$$\frac{25}{24}x=\tan(3^{a})$$

Divide both sides of the equation by \frac{25}{24}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{25}{24}x}{\frac{25}{24}}=\frac{\tan(3^{a})}{\frac{25}{24}}$$

Dividing by \frac{25}{24} undoes the multiplication by \frac{25}{24}.

$$x=\frac{\tan(3^{a})}{\frac{25}{24}}$$

Divide \tan(3^{a}) by \frac{25}{24} by multiplying \tan(3^{a}) by the reciprocal of \frac{25}{24}.

$$x=\frac{24\tan(3^{a})}{25}$$