are there any rules for log ?

Question

please tell me the rules?

Answer 1

log (ab)= log a + log b
log (a^p) = p log (a)
log (a/b) = log a - log b !

Answer 2

You have learned various rules for manipulating and simplifying expressions with exponents, such as the rule that says that x3 · x5 equals x8 because you can add the exponents. There are similar rules for logarithms.

Log Rules:

1) logb(mn) = logb(m) + logb(n)

2) logb(m/n) = logb(m) – logb(n)

3) logb(mn) = n · logb(m)

In less formal terms, the log rules might be expressed as:

1) Multiplication inside the log can be turned into addition outside the log, and vice versa.

2) Division inside the log can be turned into subtraction outside the log, and vice versa.

3) An exponent on everything inside a log can be moved out front as a multiplier, and vice versa.

(Just as when you're dealing with exponents, the above rules work only if the bases are the same. For instance, the expression "logd(m) + logb(n)" cannot be simplified, because the bases are not the same, just as x2 · y3 cannot be simplified.)

Answer 3

y = log a (x)
y is a subset of R
a > 0 and a <> 1
x >0

Answer 4

logA+logB=logAB (base is 10 everywhere)
logA-logB=logA/B
logA^B=BlogA