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Question

Solve: log438(3+13log2x)=0

A
23
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B
25
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C
210
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D
29
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Solution

The correct option is D 29
Given expression is
log4(8(3+13log2x)13)=0

13log4(83.23×13log2x)=0

log(83)+log(2log2x)log4=0

9log2+log2x(log2)=0

9log2+logxlog2×log2=0
9log2+logx=0logx=9log2logx=log(29)

we get x=29

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