What is the difference between log (x), ln (x), and lg (x)?

Log X vs ln x

Usually log(x) means the base 10 logarithm; it can, also be written as log10(x) . ... ln(x) means the base e logarithm; it can, also be written as loge(x) . ln(x) tells you what power you must raise e to obtain the number x. ex is its inverse.

Step-by-step explanation:

ln(x) is always natural log, or log base e.

log(x) is sometimes log base 10, but very often in higher math, it is used as natural log, or log base e.

lg(x) is log base 2.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.