Evaluate Log28 + Log216 - Log24
3
4
5
6
Correct answer is C
\( = log_2 \frac{8 \times 16}{4}\)
\( = log_2 32\)
\( = log_2 2^5\)
\( = 5log_2 2\)
\( = 5 \times 1\)
\( = 5 \)
Simplify \(\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)
3\(\sqrt{6} - 7\)
3\(\sqrt{6} + 7\)
3\(\sqrt{6} - 1\)
3\(\sqrt{6} + 1\)
Correct answer is A
\(= \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)
\(= \frac{2\sqrt{2}(\sqrt{2}) + (2\sqrt{2})(-\sqrt{3})-\sqrt{3}(\sqrt{2})-\sqrt{3}(-\sqrt{3})}{(\sqrt{2})^2-(\sqrt{3})^2}\)
\(= \frac{2 \times 2 - 2\sqrt{6} - \sqrt{6} + 3}{2 - 3}\)
\(= \frac{4 - 3\sqrt{6} + 3}{-1}\)
\(= \frac{7 - 3\sqrt{6}}{-1}\)
\(= \frac{7}{-1} - \frac{3\sqrt{6}}{-1}\)
\(= -7 + 3\sqrt{6}\)
\(= 3\sqrt{6}-7\)
4
5
8
10
Correct answer is D
8x-2 = 2/25
x-2 = 2/25 x 1/8
x-2 = 2/200
x-2 = 1/100
1/x2 = 1/100
x2 = 100
x = 10
If log7.5 = 0.8751, evaluate 2 log75 + log750
6.6252
6.6253
66.252
66.253
Correct answer is B
If log 7.5 = 0.8751
Then 2log75 + log750
= 2(1.8751) + 2.8751
= 3.7502 + 2.8751
= 6.6253
N40,500
N45,000
N52,500
N62,000
Correct answer is B
Let;
M = Man monthly net earnings
Then;
\(\text{N4500} = \frac{\text{10%}}{\text{100%}} \times M \)
\(M = \frac{\text{N4500} \times \text{100%}}{\text{10%}} \)
M = N45,000