Question

$a² - 10^{a} + 24 = 0$

Answer 1

delta=(-10)^2 - 4.1.24= 100-96 = 4

 y = 10 +/- V4 ==> 10+/- 2
             2.1               2

y1 = 10+2 ==> y1 = 6 
         2               

y2 = 10-2 ==> y2 = 4 
         2                                  
10^{a} = 6 ==> log10^{a} = log6 ==> alog10 = log6 ==> a.1=log6 ==> a=log6

10^{a} = 4 ==> log10^{a} = log4 ==> alog10 = log4==> a.1= log4 ==> a= log4