Question

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)

Answer 1

c. x= 4/3

Explanation:

took the test

Answer 2

C
`x=(4)/(3)`

Explanation:

The given logarithmic equation is:

`\log_(3x+4)(4096)=4`

We rewrite in exponential form; to get;

`4096=(3x+4)^4`

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

`8^4=(3x+4)^4`

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

`\implies 3x+4=8`

`\implies 3x=8-4`

`\implies 3x=4`

Divide both sides by 3;

`\implie x=(4)/(3)`

The correct answer is C