Determine the value of log 18/12 + log 8/12?
log(18*8/12*12)
log(144/144)=?
may be 1
no, log(1) = 0
ok got it
To determine the value of log 18/12 + log 8/12, we first need to use a logarithmic property called the product rule. The product rule states that log a + log b can be written as log (a * b). Applying this rule to the given expression, we get log (18/12 * 8/12).
To simplify further, we can multiply the fractions inside the logarithm. 18/12 * 8/12 equals (18 * 8) / (12 * 12), which simplifies to 144/144.
Since the numerator and denominator are equal, the fraction simplifies to 1. Therefore, the expression log (18/12 * 8/12) is equivalent to log 1.
The logarithm of 1 to any base is always 0. Therefore, the value of log 18/12 + log 8/12 is 0.