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Question

find x if log2(x5)>3


A

x>5

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B

x>13

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C

x>8

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D

x<13

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Solution

The correct option is B

x>13


log2(x5)>3

By definition of logarithm

x - 5 > 0

x > 5 ---------------(1)

Since base of logarithm greater than 1, then inequality is equivalent to

x - 5 > 23

x > 8 + 5

x > 13 -------------(2)

The common part of equation 1 and equation 2 is x > 13


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