Which equation has x = 4 as the solution? log Subscript 4 Baseline (3 x + 4) = 2 log Subscript 3 Baseline (2 x minus 5) = 2 log Subscript x Baseline 64 = 4 log Subscript x Baseline 16 = 4

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annaec909 annaec909 · Answer 1 · 2020-05-19T21:32:08+02:00

Answer:

A. log Subscript 4 Baseline (3 x + 4) = 2

Step-by-step explanation:

I graphed it.

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MrRoyal MrRoyal · Answer 2 · 2022-03-23T21:34:44+01:00

The equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4

An equation is an algebraic expression that is represented by the equality "=" sign

For an equation to have a solution of x = 4, the equation must be true at x = 4

From the options, we have:

[tex]\log_4(3x + 4) = 2[/tex]

Substitute 4 for x

[tex]\log_4(3*4 + 4) = 2[/tex]

[tex]\log_4(16) = 2[/tex]

Express 16 as 4^2

[tex]\log_4(4^2) = 2[/tex]

Apply the law of logarithm

[tex]2\log_4(4) = 2[/tex]

Apply the law of logarithm

[tex]2*1 = 2[/tex]

[tex]2= 2[/tex]

The value of x = 4 is true for [tex]\log_4(3x + 4) = 2[/tex].

Hence, the equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4