Linear Inequalities

In mathematics of linear inequalities are inequalities involving linear functions. A linear inequality contains one of the symbols of inequality: < is less than. > is greater than. ≤ is less than or equal to.


Following is a video of linear inequalities:-

Indices

The index is a useful way to easily express large amounts. They also present us with many useful features to manipulate them using the so-called Law Index.

The expression 2⁵ is defined as follows:

                                      2⁵ = 2 x 2 x 2 x 2 x 2

We call "2" the base and "5" the index

Below are the video of indices:-

Logarithm

In mathematics, the logarithm is the reverse operation exponentiation. This means that the logarithm of a number is the exponent of another fixed value, the base, must be raised to produce that number. In simple cases of repeated accusations logarithmic multiplication.  For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000(1000 = 10 × 10 × 10 = 10³); the multiplication is repeated three times. More commonly, exponentiation allow any positive real number will be raised to any real power, always positive results, so the logarithm can be calculated for any two positive real numbers and x b where b is not equal to 1.The logarithm of x to base b, denoted log_b(x), is the unique real number y such that

b^y = x.

For example, as 64 = 2⁶, then:

log₂(64) = 6