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Serhud [2]
3 years ago
15

Which logarithmic equation has the same solution as x-4=2^3

Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0

Answer: The CORRECT answer is <u>C: log2(x-4)=3</u>

Nadya [2.5K]3 years ago
3 0

Answer:

log_{3}(x-4)= 3log_{3}(2)

Step-by-step explanation:

The given equation is:

x-4=2^{3}

We have to find the logarithmic equation with same solution as the given equation.

If we take the log of both sides, we can get a logarithmic equation. Since the log operation is applied to both sides the solution of the equation will stay the same.

Taking the logarithm to the base 3 of both sides, we get:

log_{3}(x-4)= log_{3}(2)^{3}\\\\ log_{3}(x-4)= 3log_{3}(2)

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