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Question

Match the following with the correct value of x in each of the below cases.

A
7
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B
8
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C
3
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D
64
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Solution

Case(1):

log2256=x

x=8log22

x=8×1

x=8

Case(2):

logx343=3

logx73=3

3logx7=3

logx7=1

x1=7

x=7

Case(3):

In exponential form, log4x=3
can be written as

43=x

x=64

Case(4):

log34=1log4x

Since, logab=1logba

So, x=3

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