Find the exact solution of the exponential equation in terms of logarithms. 10^x=25
To solve the equation 10^x = 25, we can rewrite 25 as a power of 10:
25 = 10^2
So the equation becomes:
10^x = 10^2
Since the bases are equal, we can equate the exponents:
x = 2
Therefore, the exact solution of the exponential equation 10^x = 25 in terms of logarithms is x = log10(25).