Evaluate log 455/12-log 4.9+log 600

To evaluate the expression log 455/12 - log 4.9 + log 600, we can use the properties of logarithms.

The first property we can use is the quotient property, which states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator.

So, applying this property to the expression, we have:

log (455/12) - log 4.9 + log 600

Next, we can simplify further using another property, the product property, which states that the logarithm of a product is equal to the sum of the logarithms of the factors.

So, continuing with the simplification, we have:

log (455/12 * 600) - log 4.9

Next, we can combine the numbers inside the logarithm:

log (273000/12) - log 4.9

Simplifying the numerator: log (22750) - log 4.9

Finally, we can subtract the logarithm of 4.9:

log (22750) - log 4.9 ≈ 4.357 - 0.690 ≈ 3.667

Therefore, log 455/12 - log 4.9 + log 600 is approximately equal to 3.667.