Solve log 56.72×0.07324×261.8
To solve the expression log(56.72 × 0.07324 × 261.8), you will need to perform the multiplication first and then take the logarithm.
56.72 × 0.07324 × 261.8 = 102.8134
Now, taking the logarithm of 102.8134:
log(102.8134) = 2.012
Therefore, log(56.72 × 0.07324 × 261.8) = 2.012.
log(56.72 × 0.07324 × 261.8)
or
log (product) = log 56.72 + log 0.07324 + log 261.8
You are correct in your calculation. The logarithm of the product is equal to the sum of the logarithms of the individual numbers.
log(56.72 × 0.07324 × 261.8)
= log 56.72 + log 0.07324 + log 261.8
Now we can calculate the logarithms using a calculator or logarithm tables:
log 56.72 ≈ 1.75383
log 0.07324 ≈ -1.13465
log 261.8 ≈ 2.41801
Therefore, log(56.72 × 0.07324 × 261.8) ≈ 1.75383 + (-1.13465) + 2.41801 ≈ 3.03719