Respuesta :

log₁₆64 is3/2

What is logarithm?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a fixed number, base b, must be raised in order to create a specific number x, is represented by the logarithm of that number.

Given

log₁₆(64) = x

16ˣ=64

(2⁴)ˣ=2⁶

2⁴ˣ=2⁶

4x=6

x=3/2

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The log₁₆64 exists 3/2. Therefore, the correct answer is option c.3/2.

What is a logarithm?

The logarithm exists as exponentiation's opposite function in mathematics. This signifies that the exponent to which a fixed number, base b, must be presented to make a specific number x, exists characterized by the logarithm of that number.

Given:

log₁₆(64) = x

16ˣ = 64

Simplifying the above equation, we get

(2⁴)ˣ = 2⁶

2⁴ˣ = 2⁶

4x = 6

x = 3/2

log₁₆(64) = 3/2.

Therefore, the correct answer is option c.3/2.

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