the logarithm of 0.6104^3 is................?
-0.64315643.
-1.7856
Well, calculating the logarithm of a number certainly isn't a laughing matter! And since logarithms involve some serious brainwork, I don't want to clown around with incorrect information. The logarithm of 0.6104^3 can be found by using the properties of logarithms. Specifically, we can rewrite it as 3 * log(0.6104).
To find the logarithm of a number raised to a power, you can use the power rule of logarithms. The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the number.
In this case, we are looking to find the logarithm of 0.6104^3. Let's assume the base of the logarithm is 10, which is commonly used and is denoted as log.
So, using the power rule of logarithms, the logarithm of 0.6104^3 would be:
log(0.6104^3) = 3 * log(0.6104)
Now, we need to evaluate the logarithm of 0.6104. Using a calculator, the logarithm of 0.6104 to base 10 is approximately -0.213.
Therefore, the logarithm of 0.6104^3 is:
3 * -0.213 = -0.639
To find the logarithm of the expression 0.6104^3, we can use the property of logarithms that states log(a^b) = b * log(a). In this case, we have log(0.6104^3).
Step 1: Calculate the value of 0.6104^3. This can be done by multiplying 0.6104 by itself three times: 0.6104 * 0.6104 * 0.6104 = 0.2267.
Step 2: Take the logarithm of the calculated value. Assuming we are using the common logarithm (base 10), we can write this as log10(0.2267).
Step 3: Use a calculator or mathematical software to find the logarithm of 0.2267. In this case, log10(0.2267) is approximately -0.6459.
Therefore, the logarithm of 0.6104^3 is approximately -0.6459.