Unlock the Power of Logarithms with our Interactive Calculator

Calculate logarithms for any base and visualize the function in real-time.

Logarithm Calculator

Enter a number and a base to calculate the logarithm.

Number (x):

Base (b):

Logarithm Result:

log_{\(_\)}() =

Logarithm Function Visualization

Understanding Logarithms

A logarithm answers the question: "To what power must the base be raised to produce a given number?". In mathematical terms, if b^y = x, then the logarithm of x with base b is y, written as log_b(x) = y.

Common Logarithm (Base 10): When no base is explicitly written, the base is assumed to be 10. For example, log(100) = 2 because 10² = 100.

Natural Logarithm (Base e): The natural logarithm uses the base 'e' (approximately 2.71828). It is written as ln(x) or log_e(x).

Using the Calculator: Simply enter the number and the desired base in the input fields. Click 'Calculate Logarithm' to find the result. The graph visualizes the logarithm function for the given base, showing how the logarithm value changes with the input number. Use the 'Reset' button to clear inputs and results.

This tool is helpful for students learning about logarithms, engineers, scientists, and anyone needing to perform logarithmic calculations quickly and accurately.