\(\large \log\frac {\sqrt {ab}} {c} \)

is gelijk aan 		A.   1op2log a + 1op2log b − log c
B.   1op2log a + log b − log c
C.   1op2(log a + log b − log c)
D.   1op2log a + 1op2log b + 1op2log c
E.   \(\large \frac {\frac 12 \log ab} {\log c} \)
A    B    C    D    E

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Translation in   E N G L I S H

\(\large \log \frac {\sqrt {ab}} {c} \)

is equal to 		A.   1op2log a + 1op2log b − log c
B.   1op2log a + log b − log c
C.   1op2(log a + log b − log c)
D.   1op2log a + 1op2log b + 1op2log c
E.   \(\large \frac {\frac 12 \log (ab)} {\log c} \)

Oplossing - Solution

\(\log\frac {\sqrt {ab}} {c} = \log \sqrt {ab} - \log c = \frac 12 \log ab - \log c\\ = \frac 12 (\log a + \log b)- \log c = \frac 12 \log a + \frac 12 \log b - \log c \)
gricha