1003102404
Level:
A
Which of the following statements is not true?
\( \log_{\sqrt2}2=\frac12 \)
\( \log_{\frac12}2=-1 \)
\( \log_21= 0 \)
\( \log_2\sqrt2=\frac12 \)
A
1003102403
Level:
A
Find the value of \( x \) if
\[ \log_x8=-3. \]
\( x=\frac12 \)
\( x=2 \)
\( x=\sqrt2 \)
\( x=-\frac12 \)
1003102402
Level:
A
Find the value of \( y \) if
\[ \log_42=y. \]
\( y=\frac12 \)
\( y=-1 \)
\( y=2 \)
\( y=1 \)
1003102401
Level:
A
Among offered answers, choose a logarithmic form of the following equality.
\[ 8^2 = 64 \]
\( \log_864=2 \)
\( \log_264=8 \)
\( \log_82=64 \)
\( \log_28=64 \)
1003034110
Level:
A
Calculating \(2\cdot3-(4\cdot15-36)\) we get:
\( -18 \)
\( 18 \)
\( 90 \)
\( -90 \)
1003034109
Level:
A
Give the result of \( 3+5-2\cdot3+\left(2^3-6\right):1\).
\( 4 \)
\( 20 \)
\( 14 \)
\( 2 \)
1003034106
Level:
A
The value of the expression \( \frac{\sqrt[3]{81}}{\sqrt[3]3} \) is:
\( 3 \)
\( 3\sqrt3 \)
\( \frac9{\sqrt[3]3} \)
\( 27 \)
1003034105
Level:
A
Evaluate the expression \( 0.864:0.24 \).
\( 3.6 \)
\( 36 \)
\( 0.36 \)
\( 0.624 \)
1003034104
Level:
A
Evaluating the expression \( \frac13\sqrt[3]4\cdot\sqrt[3]2 \) we get:
\( \frac23 \)
\( \frac83 \)
\( \frac26 \)
\( \frac33 \)
1003034103
Level:
A
The result of subtraction \( 0.36-3.21 \) is:
\( -2.85 \)
\( 2.85 \)
\( 3.57 \)
\( 3.15 \)