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ANSWER INCLUDED: What is the solution of log3x + 4 4096 = 4?

x=-1

x=0

x=4/3

x=3

We solve for x by simplifying both sides of the equation, then isolate the variable.

ANSWER:

C (x=4/3)

Respuesta :

kudzordzifrancis

Answer:

C [tex]x=\frac{4}{3}[/tex]

Step-by-step explanation:

The given logarithmic equation is:

[tex]\log_{3x+4}(4096)=4[/tex]

We rewrite in exponential form; to get;

[tex]4096=(3x+4)^4[/tex]

We rewrite the LHS as a certain natural number exponent 4.

[tex]8^4=(3x+4)^4[/tex]

The exponents are the same, hence the bases must also be the same.

[tex]\implies 3x+4=8[/tex]

[tex]\implies 3x=8-4[/tex]

[tex]\implies 3x=4[/tex]

Divide both sides by 3;

[tex]\implie x=\frac{4}{3}[/tex]

The correct answer is C

lexihaun12703

Answer:

c. x= 4/3

Step-by-step explanation:

took the test

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