a^2 + a^x = a^10

a^2 + a^x = a^10 

 

If a is a constant and x is a variable then:

 

\(\begin{align} a^2 + a^x& = a^{10}\\ a^x &= a^{10}-a^2\\ log( a^x)& =log( a^{10}-a^2)\\ xlog( a)& =log( a^{10}-a^2)\\ x& =\frac{log( a^{10}-a^2)}{log(a)}\\ \end{align} \)