Question

Rewrite 4 1/2=2 please

Answer 1

The logarithmic expression of 4^(1/2) = 2 is $\log_4(2) = \frac 12$

How to rewrite the expression?

The expression is given as:

4^(1/2) = 2

Take the logarithm of both sides

log(4^(1/2)) = log(2)

Apply the change of base rule

1/2log(4) = log(2)

Divide both sides by log(4)

1/2 = log(2)/log(4)

Change the base

$\frac 12 =\log_4(2)$

Rewrite as:

$\log_4(2) = \frac 12$

Hence, the logarithmic expression of 4^(1/2) = 2 is $\log_4(2) = \frac 12$

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