Which logarithmic equation has the same solution as x minus 4 = 2 cubed
log 3 squared = (x minus 4)
log 2 cubed = (x minus 4)
log Subscript 2 Baseline (x minus 4) = 3
log Subscript 3 Baseline (x minus 4) = 2

(look at the picture below)

Given:

The given equation is

Solving the equation , we get;

We need to determine the logarithmic equation that is equivalent to the given equation.

Option A:

Simplifying, we get;

Since, the values of x are not equivalent, the equation is not equivalent to

Option A is not the correct answer.

Option B:

Simplifying, we get;

Since, the values of x are not equivalent, the equation is not equivalent to

Option B is not the correct answer.

Option C:

Simplifying, we get;

Since, the values of x are equivalent, the equation is equivalent to

Hence, Option C is the correct answer.

Option D:

Simplifying, we get;

Since, the values of x are not equivalent, the equation is not equivalent to

Hence, Option D is not the correct answer.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)