log₅ 20 =
log
log
ln
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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!