What are the expanding logarithms?
Many equations can be simplified by expanding logarithms. The term "expanding logarithms" does not apply to logarithms that are expanding, but rather to a process that one mathematical expression is replaced by others according to specific rules. There are three such rules. Each of them corresponds to the specific features of the exponents, because the use of logarithm is functional inverse exponents: log 3 (9) = 2, because 3 2
The most common rule for expanding logarithms is used for separate products. The product logarithm is the sum of the relevant logarithms: log and ( x*y ) = log and ( x ) + log This equation is derived from the and 2 The equivalent feature for logarithms is that log and (1/ x ) = -log and ( x ). If this feature is combined with the product rule, the law for use of the logarithm is provided: log a
The final rule for expanding logarithms refers to the logarithm of the increased strength. The product rule is found that the and ( x and ( x ). Generally log and ( x
These rules can be combined to expand the log of more complex terms. For example, the second rule for the and ( x expanding logarithms make it possible to quickly solve many equations. For example, someone can open a $ 400 savings account. If the account pays 2 percent an annual interest rate monthly interest, the number of months required before double account is found with a equation of 400*(1 + 0.02/12) m
This equation can be simplified using the power rule to m *log 10 (1 + 0.02/12) = log 10 (2). Using the calculator to find the yields of logarithms m *(0.00072322) = 0.30102. One detects in the solution for mWomen no more money.