Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.
(2) The logarithm (to base 10) of any number x is defined as the power N such that
x = 10N
(3) Properties of logarithms:
(a) The logarithm of a product P.Q is the sum of the logarithms of the factors
log (PQ) = log P + log Q
(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors
log (P / Q) = log P – log Q
(c) The logarithm of a number P raised to power Q is Q.logP
log[PQ] = Q.logP
Step-by-step explanation:
Answer:
What goes in the blank is 2
Step-by-step explanation:
In this question, we want to know what goes into the bracket when factorizing the expression above.
What we have a problem with is the terms x^2 - 4x + 4
We can rewrite this as;
x^2 -2x - 2x + 4
x(x-2) -2(x - 2)
That would thus be (x-2)^2
What goes into the bracket is thus the number 2
Eliminate the fractions by multiplying by least common multiple.
4,9,12 all go into 36 evenly. Multiply entire equation by 36.
36/4 = 9
36/9 = 4
36/12 = 3
New equation looks like:
Answer:
Step-by-step explanation:
38.
37.
