Brrrr Calculator Excel

by

Fact Checked & Reviewed by: David Chen, CFA

Expert in Mathematical Modeling and Quantitative Analysis. Last updated: May 2024.

Learning how to put base of log in calculator can be tricky since many basic devices only offer “log” (base 10) or “ln” (natural log). This advanced calculator uses the change-of-base formula to help you solve any logarithmic equation for the base, the value, or the exponent.

How to Put Base of Log in Calculator

The base of the logarithm (must be > 0 and ≠ 1).
The number you are taking the log of (must be > 0).
The exponent (logbx = y).

how to put base of log in calculator Formula:

Change of Base Formula:

$$\log_{b}(x) = \frac{\log_{k}(x)}{\log_{k}(b)}$$

Usually, $k$ is $10$ or $e$ (natural log).

Sources: Khan Academy | Wolfram MathWorld

Variables:

  • Base (b): The number being raised to a power.
  • Value (x): The result of the exponentiation.
  • Log Result (y): The exponent to which the base must be raised to produce x.

Related Calculators:

What is how to put base of log in calculator?

Logarithms are the inverse operation of exponentiation. If you have a standard scientific calculator, you might notice there is no specific button for arbitrary bases like base 3 or base 7. Knowing how to put base of log in calculator involves using the “Change of Base” identity.

By dividing the log of your value by the log of your desired base, you can find the result using the standard [LOG] or [LN] buttons found on any TI-84, Casio, or mobile calculator app.

How to Calculate (Example):

  1. Identify your base ($b$) and value ($x$). Example: $\log_{2}(8)$.
  2. Press the [LOG] button on your calculator.
  3. Type the value (8) and close the parenthesis: $log(8)$.
  4. Press the division [÷] button.
  5. Press [LOG] again and type the base (2): $log(2)$.
  6. Hit [=] to get the result: 3.

Frequently Asked Questions (FAQ):

Can the log base be negative? No, the base must be a positive number and cannot be 1.

What is the difference between log and ln? “Log” usually refers to base 10, while “ln” refers to the natural log (base $e \approx 2.718$).

How do I enter base 2 on a TI-84? Newer TI-84 models have a “logBASE” function under [MATH] > [A:logBASE].

Why is log base 1 undefined? Because 1 raised to any power is always 1, so it cannot produce any other value.

V}

Leave a Comment