Final answer:
To calculate base 5 logarithm of 19 on a traditional calculator, apply the change of base formula: log519 = log(19)/log(5) or ln(19)/ln(5), using the common log or natural log buttons followed by division to get the result.
Step-by-step explanation:
To find the base 5 logarithm of the number 19 on a calculator that doesn't have a base 5 log function, you can use the change of base formula. Using this method, you will typically use either the common logarithm (log button) or the natural logarithm (ln button) which are available on most scientific calculators.
Here's how you can do it step by step:
- Enter the number 19 and press the 'log' or 'ln' button to obtain its logarithm.
- Press the division symbol ('/').
- Enter the number 5 and press the 'log' or 'ln' button to obtain its logarithm.
- Press the equals ('=') button to divide the two logarithms. This will give you the logarithm of 19 to the base 5.
The formula you are actually using here is log519 = log(19)/log(5) or ln(19)/ln(5), where 'log' represents the common logarithm and 'ln' represents the natural logarithm.
Remember that when using logarithms, it's important to consider rounding and significant digits for your final answer based on the precision required for your calculation.