To solve the equation log5(15) = x, we want to express the logarithm in a form that allows us to find an approximate value for x.
Using the change of base formula, we can express the logarithm as follows:
x = log(15) / log(5)
Next, we can calculate the approximate values of the logarithms using a calculator:
- log(15) ≈ 1.176
- log(5) ≈ 0.699
Now, we can substitute these values into our equation:
x ≈ 1.176 / 0.699
Calculating that gives:
x ≈ 1.684
Therefore, the approximate value of x in the equation log5(15) = x is about 1.684.