Question

What is the solution of log base 3x + 4 * 4096 = 4?

Answer 1

Answer:

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

Step-by-step explanation:

The given logarithmic equation is

$\log_{3x+4}(4096)=4$

We take antilogarithm to get:

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

We write the left hand side as a power.

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

Since the exponents are the same the bases are also equal.

$8=3x+4$

$8-4=3x$

$4=3x$

Divide both sides by 3;

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