THE IDEA BEHIND THE ANSWER
A formula you can follow.
log base b of x = ln(x) / ln(b)
The number and base must be positive. Base 1 is undefined; bases between 0 and 1 are valid.
SCIENTIFIC MATH / ONE CLEAR STEP AT A TIME
Ask what exponent turns a chosen base into your number.
Start with the example below, or enter your values.
⌘ Your inputs stay in this browser.
Enter your numbers and we’ll work through the calculation together.
YOUR RESULT
THE IDEA BEHIND THE ANSWER
log base b of x = ln(x) / ln(b)
The number and base must be positive. Base 1 is undefined; bases between 0 and 1 are valid.
GOOD TO KNOW
Enter positive number, logarithm base. Choose any available mode, then select Calculate. The example numbers are a starting point you can change.
A message explains what to change. Previous results are cleared when you edit an input, so the answer always matches the values you calculated.
No. These tools calculate locally in your browser, without an account. Displayed numeric results are rounded; these tools do not provide arbitrary-precision arithmetic.