Math  /  Algebra

QuestionSolve the following equation. log2(5x+4)=6\log _{2}(5 x+4)=6
The solution set is \square B. (Simplify your answer.)

Studdy Solution
Verify the solution by substituting x=12 x = 12 back into the original equation:
log2(5(12)+4)=log2(60+4)=log2(64) \log_{2}(5(12) + 4) = \log_{2}(60 + 4) = \log_{2}(64)
Since 64=26 64 = 2^6 , we have:
log2(64)=6 \log_{2}(64) = 6
The solution satisfies the original equation.
The solution set is:
12 \boxed{12}

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