The log of (0.6104)³ is
-0.4215
To find the log of (0.6104)³, we can use the property of logarithms:
log(a^b) = b * log(a)
Applying this property, we have:
log((0.6104)³) = 3 * log(0.6104)
Now, we can use a scientific calculator or a logarithm table to find the logarithm of 0.6104. Assuming we use base 10 logarithms, we can calculate:
log(0.6104) ≈ -0.2137
Substituting this back into the previous equation:
3 * log(0.6104) ≈ 3 * (-0.2137)
≈ -0.6411
Therefore, the log of (0.6104)³ is approximately -0.6411.
To calculate the logarithm of a number, you can use the logarithmic function. In this case, we want to find the logarithm of the number (0.6104)³.
The logarithmic function can be expressed in the form:
logₐ(b) = x,
where a is the base, b is the number we want to find the logarithm of, and x is the result.
In this case, we want to find the logarithm of (0.6104)³, so we can write it as:
logₐ((0.6104)³) = x.
To solve this equation, we need to know the base of the logarithm. If you don't specify the base, it is usually assumed to be 10, and the logarithm is denoted as log.
If we assume the base of the logarithm is 10, we can write it as:
log((0.6104)³) = x.
To calculate this using a calculator, follow these steps:
1. Enter 0.6104.
2. Press the exponentiation button (^ or y^x) on your calculator.
3. Enter 3.
4. Press the logarithm button (log or log₁₀) on your calculator.
The result displayed on your calculator will be the logarithm of (0.6104)³ to the base 10.
Please note that if you want to calculate the logarithm to a different base, you will need to use the appropriate logarithmic function on your calculator. The most common bases are 10 (log) and e (ln).