Simplify \(\frac{\log \sqrt{8}}{\log 8}\)
1/3
1/2
1/3log√2
1/3log√8
1/2log√2
Correct answer is B
\(\frac{\log \sqrt{8}}{\log 8}\)
= \(\frac{\log 8^{\frac{1}{2}}}{log 8}\)
= \(\frac{\frac{1}{2} \log 8}{\log 8}\)
= \(\frac{1}{2}\)
Given that 1/3log10 P = 1, find the value of P
1/10
3
10
100
1000
Correct answer is E
1/3log10P = 1
log10P1/3 = log1010
P1/3 = 10 P = 1000
Express 0.00562 in standard form
5.62 x 10-3
5.62 x 10-2
562 x 10-2
5.62 x 102
5.62 x 103
Correct answer is A
0.00562 = 5.62 x 10\(^{-3}\)
If 3\(^{2x}\) = 27, what is x?
1
1.5
4.5
18
40.5
Correct answer is B
p>3\(^{2x}\) = 27
3\(^{2x}\) = 3\(^3\)
2x = 3
x = 1.5
Simplify 125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)
350
35
1/35
1/350
Correct answer is C
125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)
= 5\(^{-1}\) x 7\(^{-1}\) x 1
= \(\frac{1}{35}\)