Log3(x)=4.5 and log3(y)=3 then what is log3(x^2/y)?

6

Step-by-step explanation:

So it is easier on me let's pretend each logarithm I write is base 3.

log(x^2/y)

Quotient rule

log(x^2)-log(y)

Power rule

2log(x)-log(y)

Substitute the given

2*4.5-3

9-3

6

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°