What is the number whose logarithm to base 10 is \(\bar{3}.4771\)?
3.0
0.3
0.03
0.003
0.0003
Correct answer is D
No explanation has been provided for this answer.
simplify; 2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16
2
3
2 - 2log32
3 - log32
4 - log32
Correct answer is B
2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16
= \(\log_3 6^2 + \log_3 12 - \log_3 16\)
= \(\log_{3} (\frac{36 \times 12}{16})\)
= \(\log_{3} (27)\)
= \(\log_{3} 3^3\)
= \(3 \log_{3} 3\)
= 3
Simplify: 16\(^{\frac{5}{4}}\) x 2\(^{-3}\) x 3\(^0\)
0
2
4
10
20
Correct answer is C
16\(^{\frac{5}{4}}\) x 2\(^{-3}\) x 3\(^0\)
= \((2^4)^{\frac{5}{4}} \times 2^{-3} \times 1\)
= \(2^5 \times 2^{-3} \times 1\)
= \(2^2\)
Express \( \frac{8.75}{0.025} \) in standard form
3.5 x 10-3
3.5 x 10-2
3.5 x 101
3.5 x 102
3.5 x 103
Correct answer is D
\(\frac{8.75}{0.025}\)
= \(\frac{8750}{25}\)
= \(350\)
= \(3.5 \times 10^2\)
Which of the following is equal to \(\frac{72}{125}\)
\( \frac{2^3 \times 3^2}{5^3} \)
\( \frac{2^4 \times 3}{5^3} \)
\( \frac{2^3 \times 3}{5^3} \)
\( \frac{2^4 \times 3}{5^5} \)
\( \frac{2^2 \times 3^2 \times 4^2}{5^2} \)
Correct answer is A
\(\frac{72}{125} = \frac{8 \times 9}{5 \times 5 \times 5}\)
= \(\frac{2^3 \times 3^2}{5^3}\)