log₅ 20 =

To calculate ( log_5 20 ), we can use the change of base formula:

[

log_a b = frac{log_c b}{log_c a}

]

where ( c ) can be any positive value, typically 10 or ( e ). Let’s use the natural logarithm (ln) for this example:

[

log_5 20 = frac{ln 20}{ln 5}

]

Now, you can compute this using a calculator to get the numerical value:

1. Calculate ( ln 20 ).
2. Calculate ( ln 5 ).
3. Divide ( ln 20 ) by ( ln 5 ).

This will give you the value of ( log_5 20 ). If you need any further assistance with logarithms or calculations, feel free to ask!