What is the exact value of x in the exponential equation 25x − 57 = 43
\(25^x - 57 = 43\\ 25^x = 100\\ 5^{2x} = 100\\ 2x\log(5) = \log(100) = 2\\ x = \dfrac{1}{\log(5)}\)
Another possibility
25^x = 43 + 57
25^x = 100
x log 25 = 2
x = 2/log25 (same thing)
+6250 
+37158 
