If log 2 x-log x 64 2-log x - 16 2 Then value of x is

The correct option is B 4Let x = 4 Log 4/642 nbsp;= log2 2/ log2 1/16 = ¼ LHS log24 * ¼ = ½ RHS log4/162 = log1/42 = ½ LHS = RHS For x = 2, 16, 8 LHS ...

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Quantitative Aptitude

Successive Division

If log 2 x*lo...

Question

If log₂x * log_x/642 = log_x/162 Then value of x is

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Solution

The correct option is B
4
Let x = 4
Log _4/642
= log₂ 2/ log₂ 1/16
= -¼
LHS
log₂4 * -¼ = -½
RHS
log_4/162 = log_1/42 = -½

LHS = RHS
For x = 2, 16, 8 LHS =/= RHS
x = 4

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If log2x * logx/642 = logx/162 Then value of x is

The correct option is B 4Let x = 4 Log 4/642 = log2 2/ log2 1/16 = -¼ LHS log24 * -¼ = -½ RHS log4/162 = log1/42 = -½ LHS = RHS For x = 2, 16, 8 LHS =/= RHS x = 4

If log₂x * log_x/642 = log_x/162 Then value of x is

The correct option is B
4
Let x = 4
Log _4/642
= log₂ 2/ log₂ 1/16
= -¼
LHS
log₂4 * -¼ = -½
RHS
log_4/162 = log_1/42 = -½

LHS = RHS
For x = 2, 16, 8 LHS =/= RHS
x = 4