# Find the derivative of y = log_10(x)

We define log functions as the inverses of exponentials.

## Answer: The derivative of log10 x = 1/ x ln 10

Let see, how we can find the derivative of y = log_10(x).

**Explanation: **

We have to find the derivative of log_{10} x

y = ln(x) ⇔ x=e^{y}

y = log_{10}(x) ⇔ x = 10^{y}

We will use the implicit differentiation to find the derivative of log_{a}(x).

d/dx [ln(x)] = 1/x

d/dx [log_{10}(x)] = (1 / x) ln 10