How to Find the Antilog of Values in R?

The antilog or anti-logarithm is the inverse process of finding log or logarithm. If q is the value of logb p then p is the antilog of q to the base b that is, q = log_b p then p = antilog_b q

Examples,

• antilog₂ 3 = 8, since 2³ yields 8
• antilog₄ 2 = 16, since 4² yields 16
• antilog₁₀ 4 = 10000, since 10⁴ yields 10000

Antilog:

The antilog or anti-logarithm of a number, number to base, the base can be calculated as,

Syntax:

base^number

Here,

base: a positive integer (base of antilog)

number: an integer whose antilog to be computed

Return type:

a positive integer: antilog of number to base 

Example 1:

In this example, we will see how we can calculate antilog of the following positive numbers,

• antilog₂ (3)
• antilog₄ (2)
• antilog₁₀ (4)
• antilog_e (4.60517018598809)

Since antilog₂ (3) is equal to 2³ = 8, antilog₄ (2) is equal to 4² = 16 and antilog₁₀ (4) is equal to 10⁴ = 10000 we can calculate these values with the help of exponentiation operator (^) in R. We can also compute the antilogarithm of a number to base e by passing a single parameter to the exp() inbuilt function. 

R

# R program to illustrate how we can
# compute antilog

# An integer whose antilog to be computed
number = 3

# Initializing base
base = 2

# Computing antilog value
answer = base ^ number

# Print the value of antilog
print(paste("The value of antilog2(3) is equal to", answer))

# Initializing base
base = 4

# An integer whose antilog to be computed
number = 2

# Computing antilog value
answer = base ^ number

# Print the value of antilog
print(paste("The value of antilog4(2) is equal to", answer))


# An integer whose antilog to be computed
number = 4

# Initializing base
base = 10

# Computing antilog value
answer = base ^ number

# Print the value of antilog
print(paste("The value of antilog2(3) is equal to", answer))

# An integer whose antilog to be computed
number = 4.60517018598809

# Print the value of antilog
print(paste("The value of antiloge(4.60517018598809) is equal to", exp(number)))

Output:

Example 2:

In this example, we will see how we can calculate antilog of the following negative numbers,

• antilog₂ (-3)
• antilog₄ (-2)
• antilog₁₀ (-4)
• antilog_e (-4.60517018598809)

Since antilog₂ (-3) is equal to 2^-3 = 1 / 8 , antilog₄ (-2) is equal to 4^-2 = 1 / 16 and antilog₁₀ (-4) is equal to 10^-4 = 1 / 10000 we can calculate these value with the help of exponentiation operator (^) in R.  We can also compute the antilogarithm of a number to base e by passing a single parameter to the exp() inbuilt function. 

R

# R program to illustrate how we can compute antilog

# An integer whose antilog to be computed
number = -3

# Initializing base
base = 2

# Computing antilog value
answer = base ^ number

# Print the value of antilog
print(paste("The value of antilog2(-3) is equal to", answer))

# Initializing base
base = 4

# An integer whose antilog to be computed
number = -2

# Computing antilog value
answer = base ^ number

# Print the value of antilog
print(paste("The value of antilog4(-2) is equal to", answer))


# An integer whose antilog to be computed
number = -4

# Initializing base
base = 10

# Computing antilog value
answer = base ^ number

# Print the value of antilog
print(paste("The value of antilog10(-4) is equal to", answer))

# An integer whose antilog to be computed
number = -4.60517018598809

# Print the value of antilog
print(paste("The value of antiloge(-4.60517018598809) is equal to", exp(number)))

Output: