Logarithms and Exponent:e power infinity,e power minus infinity,etc

What is Logarithms

Logarithms is the power which a number must be raised order to get some other number.

log_bn=r

Example 1:

log₁₀ 1000 = 3

L.H.S = log₁₀ 1000

log₁₀10³

3log₁₀10=3

log₁₀ 1000 = 3

Example 2:

log₅ 25 = 2

L.H.S = log₅ 25

log₅₅²

2log₅5=2

log₅ 25 = 2

---

What is Antiogarithms

Antilogarithms is the inverse of the logarithms it is used to raise the value of the given number from the base.

Example:

Antilog_bx=1/log_bx


Antilog_bx(log_bx)=x

---

What is Exponent

Exponent of the number says how many times to use that number in a multiplication it is return as a small number to right and above the base number.

Example 1:

₈²_{=8 x 8=64}

• Here 2 is the exponent
• It is user wise called index or power

---

What is e power infinity ?

 Where e is the constant number and infinity is the maximum number. When e is raised(power) into infinity is equal to infinity.

In the basis of anything power infinity is equal infinity.(_n^infinity_=infinity)

n is the constant number

---

What is e power minus infinity ?

 Where e is the constant number and infinity is the maximum number. When e is raised(power) into minus infinity is equal to 0.

In the basis of anything power infinity is equal infinity.(_n^-infinity₌₀₎

n is the constant number

Example:

₅^-3 = 0.005

₅^-infinity = 0.000.......05 approximately is 0