Add Numbers Log For Free

Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y). They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).

The sum of the logs is the log of the product. The log of a sum cannot be simplified. The log of a difference is NOT the difference of the logs. The difference of the logs is the log of the quotient.

The logarithm of a product is the sum of the logarithms of the factors.Because the logarithm of a product is the sum of the logarithms of the factors, the logarithm of a number, x , to an exponent, p , is the same as the logarithm of x added together p times, so it is equal to plogb(x).

The laws apply to logarithms of any base but the same base must be used throughout a calculation. This law tells us how to add two logarithms together. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. The same base, in this case 10, is used throughout the calculation.

The log of a product is equal to the sum of the logs of its factors. There are a few rules that can be used when solving logarithmic equations. One of these rules is the logarithmic product rule, which can be used to separate complex logs into multiple terms.

Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y). They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).

The log of a sum is NOT the sum of the logs. The sum of the logs is the log of the product. The log of a sum cannot be simplified.