The logarithms of;0.016×0.084÷0.48
let x = 0.016×0.084÷0.48
log x = log(0.016×0.084÷0.48)
= log .016 + log .084 - log .48
are you for some strange reason still using tables, if so then ...
= -2 + .20412 + (-2) + .9243 - (-1 + .6812)
= -3 + .44722
x = 10^-3 x 10^.44722
= 10^-3 x 2.8004
= .0028004
using logs on my calculator:
log x = -1.7959 + (-1.07572) - (-.31876)
= -2.55284
x = 10^-2.5584 = .0028
actual answer just multiplying the numbers
= .0028
To find the logarithm of a product, we can use the property:
log(a * b) = log(a) + log(b)
To find the logarithm of a quotient, we can use the property:
log(a / b) = log(a) - log(b)
Now, let's apply these properties to find the logarithm of 0.016 × 0.084 ÷ 0.48:
log(0.016 × 0.084 ÷ 0.48) = log(0.016) + log(0.084) - log(0.48)
Next, we can use a calculator to find the logarithm of each number individually:
log(0.016) ≈ -1.796
log(0.084) ≈ -1.077
log(0.48) ≈ -0.320
Now, substitute the values back into the original equation:
log(0.016 × 0.084 ÷ 0.48) ≈ -1.796 + (-1.077) - (-0.320)
Simplifying further:
log(0.016 × 0.084 ÷ 0.48) ≈ -1.796 - 1.077 + 0.320
Finally, perform the addition:
log(0.016 × 0.084 ÷ 0.48) ≈ -2.553
To calculate the logarithms of 0.016 × 0.084 ÷ 0.48, you first need to multiply 0.016 and 0.084, and then divide the result by 0.48.
Let's break down the steps to find the answer:
Step 1: Multiply 0.016 and 0.084
0.016 × 0.084 = 0.001344
Step 2: Divide the result by 0.48
0.001344 ÷ 0.48 = 0.0028
Now, to find the logarithm of 0.0028, you'll need to take the logarithm of the number using a specific base. In this case, let's assume you want to find the logarithm using base 10.
The logarithm of 0.0028 (assuming base 10) is written as log10(0.0028). To find this value, you can use a scientific calculator or an online logarithm calculator.
The result of log10(0.0028) is approximately -2.553964...
Therefore, the logarithms of 0.016 × 0.084 ÷ 0.48 is approximately -2.553964.