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How can you obtain the points for the log below from its inverse?

How can you obtain the points for the log below from its inverse?-example-1
User John Rasch
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Answer

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Step-by-step explanation

The laws of logarithms will come in handy in helping to obtain the points for the log from its inverse.

Before we commence, the two laws of logarithms that we will be using is that

log₄ 4ᶜ = c (log₄ 4)

And

log₄ 4 = 1

So, no matter the value of inverse given, a simple mathematical evaluation will give the log points.

when x = 1

f(x) = log₄ x

f(1) = log₄ 1 = log₄ 4⁰ = 0 log₄ 4 = 0 × 1 = 0

when x = 4

f(x) = log₄ x

f(4) = log₄ 4 = log₄ 4¹ = 1 (log₄ 4) = 1 × 1 = 1

when x = 16

f(x) = log₄ x

f(16) = log₄ 16 = log₄ 4² = 2 (log₄ 4) = 2 × 1 = 2

when x = 64

f(x) = log₄ x

f(64) = log₄ 64 = log₄ 4³ = 3 (log₄ 4) = 3 × 1 = 3

Hope this Helps!!!

User Romaric
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