Question

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

x = −1
x = 0
x = 4 over 3
x = 3

Answer 1

`x=(4)/(3)`

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=(4)/(3)`