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amm1812
3 years ago
10

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

Mathematics
1 answer:
allsm [11]3 years ago
6 0

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

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