The missing value in the logarithm are as follows:
- log₃ 7 - log₃ 2 = log₃ (7 / 2)
- log₉ 7 + log₉ 4 = log₉ 28
- log₆ 1 / 81 =
- - 4 log₆ 3
<h3>How to solve logarithm?</h3>
Using logarithm rule,
logₐ b - logₐ c = logₐ (b / c)
logₐ b + logₐ c = logₐ (b × c)
Therefore,
log₃ 7 - log₃ 2 = log₃ (7 / 2)
log₉ 7 + log₉ 4 = log₉ (7 × 4) = log₉ 28
log₆ 1 / 81 = log₆ 81⁻¹ = log₆ 3⁻⁴ = - 4 log₆ 3
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Answer:
27000
Step-by-step explanation:
Using the Pythagorean Theorem:
Missing side = √4^2 +8^2
Missing side = √16+64
Missing side = √80 = 8.9 (rounded to the nearest tenth)
1) Angle T = 72°
Angle U = 54°
2) Angle M = 76°
Angle N = 76°
<em>Explanation</em><em>:</em><em> </em>
<em> </em> 1. Isosceles triangle (since 2 sides are equal)
Angle U = Angle S = 54° (equal sides of a traingle have equal angles)
angle U + angle S + angle T =180 (Angle sum Property)
54° + 54° + angle T = 180°
108 + angle T = 180°
Angle T = 180 - 108
= 72°
2. Isosceles triangle again (same properties)
angle L + angle M + angle N = 180
28 + angle M + angle N = 180
angle M + angle N = 180 - 28
angle M + angle N = 152
"angle M and N will be equal since it is
isosceles triangle"
so, 2x (M&N) = 152
x = 152 ÷ 2
= 76
therefore angle M = angle N = 76°
