The answer is log3 k to the seventh power m to the sixth power over n to the ninth power
a * logₓ(y) = logₓ(yᵃ)
7 log₃ (k) = log₃ (k⁷)
6 log₃ (m) = log₃ (m⁶)
9 log₃ (n) = log₃ (n⁹)
7 log₃ (k) + 6 log₃ (m) - 9 log₃ (n) = log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹)
logₓ(y) + logₓ(z) = logₓ(y * z)
log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶) - log₃ (n⁹)
logₓ(y) - logₓ(z) = logₓ(y / z)
log₃ (k⁷ * m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶ / n⁹)
6 / (2/3)
= 6 * 3/2
= 18/2
= 9
answer
there are 9 (2/3 cup) servings in 6 cups of yogurt
The number 0.59136363636363636... is an irrational numbers
<h3>How to determine the number type?</h3>
The number is given as:
Number = 0.59136363636363636...
The three dots at the end of the number implies that the numbe is a non-terminating decimal
All non-terminating decimal are irrational numbers
Hence, the number 0.59136363636363636... is an irrational numbers
Read more about irrational numbers at
brainly.com/question/11919233
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A=b/c -b/d
a+b/d=b/c
(da+b)/d=b/c
db=(da+b)c
c=db/da+b
Answer:
(a) 17°
(b) 78°
Step-by-step explanation:
(a) sin A= 0.2896
to calculate for "A" check for sin inverse of 0.2896
A= sin^-1(0.2896) = 16.83
to the nearest degree A= 17°
(b) tan A = 4.7046
A= tan^-1(4.7046)
A = 77.99
to the nearest degree A = 78°