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Omar wants to use a graph to solve the equation below.

log Subscript 6 Baseline x = log Subscript 2 Baseline (x + 4)

Which system of equations should Omar use?
y 1 = StartFraction log 6 Over x EndFraction , y 2 = StartFraction log 2 Over x + 4 EndFraction
y 1 = StartFraction log x Over log 6 EndFraction, y 2 = StartFraction log x + 4 Over log 2 EndFraction
y 1 = StartFraction log 6 Over log 2 EndFraction, y 2 = StartFraction log x Over log (x + 4) EndFraction
y 1 = StartFraction log x Over log 6 EndFraction, y 2 = StartFraction log (x + 4) Over log 2 EndFraction

Respuesta :

Answer:

D. y 1 = StartFraction log x Over log 6 EndFraction, y 2 = StartFraction log (x + 4) Over log 2 EndFraction

Step-by-step explanation:

Omar should use the system of equations y₁ = logx/log6, and y₂ = log(x+4)/log2 option second is correct.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

We have a log equation:

log₆x = log₂(x + 4)

As we know:

logₐᵇ = log(b)/log(a)

After applying the above property:

logx/log6 = log(x+4)/log2

y₁ = logx/log6

y₂ = log(x+4)/log2

Thus, Omar should use the system of equations y₁ = logx/log6, and y₂ = log(x+4)/log2 option second is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

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