Log 0.296 × 0.0082 × 5.437
Pls guys help me with the answer am in a thight situation
surely you have a scientific calculator, or some "trig tables" from the 1960's
do the multiplications, then hit the "log" key
To calculate the logarithm of a product, you can use the logarithmic property that states log(a * b) = log(a) + log(b).
1. First, find the logarithm of each factor separately.
- log 0.296
- log 0.0082
- log 5.437
2. Use the logarithmic property to add the logarithms together:
log (0.296 × 0.0082 × 5.437) = log 0.296 + log 0.0082 + log 5.437
3. Calculate each logarithm using a calculator or a logarithmic table:
- log 0.296 ≈ -1.527
- log 0.0082 ≈ -2.086
- log 5.437 ≈ 0.735
4. Substitute the values obtained into the equation:
log (0.296 × 0.0082 × 5.437) ≈ -1.527 + (-2.086) + 0.735
5. Perform the addition:
-1.527 + (-2.086) + 0.735 ≈ -2.878
Therefore, log (0.296 × 0.0082 × 5.437) ≈ -2.878