Question

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

Answer 1

Answer:

C $x=\frac{4}{3}$

Step-by-step 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;

$\implie x=\frac{4}{3}$

The correct answer is C