Answer: x log[5] = log[125]
Explanation:
The original expression is 125 = 5^x
To express that as a logarithmic equation take logarithms on both sides:
log [125] = [log 5^x]
By the properties of the logartims of powers that is:
log [125] = x log[5]
And that is the equation required.
If you want to solve it, you can do 125 = 5^2, and apply the same property (logarithm of a power) to the left side, yielding to:
log [5^2 ]= x log[5]
=> 2 log[5] = x log[5]
=> 2 = x
