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$Log x 16 = 4$ ?

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4

6

2

10

answer is C.

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Detailed Solution

Log

form and index form are interchangeable.

{Log}_{a} b = c \Leftrightarrow a^{c} = b

{Log}_{x} 16 = 4

can be read as asking the question “what number, when raised to

4^{t h}

power will give

16

?”
In index form this means:

x^{4} = 16

It really does help to know the first few power of the number up to

10

by heart.
The power of

2

are:

1, 2, 4, 8, 16, 32, 64, 128 . . .

This means

2^{4} = 16

which gives us the answer we need.

x = 2

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