Using properties of logarithms:

log(m+n) = log(m.n)

log(m-n) = log (m/n)

we get,

log(32x16/64)

On simplifying:

log(8)

and 8= 2^3

therefore,

log(2^3)

again using another property for exponents in logarithms we get:

3 log 2 <---- Answer

7 0

3 years ago

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Check my answer please? I'll report if you just say yeah and it's not correct lol.

Elena-2011 [213]

Yes, set up your proportion: x/21 = 10/14
Cross multiply 14x = 210
Divide both sides by 14 and x= 15 cm

7 0

3 years ago

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PLEASE SOMEBODY HELP MEEEE

andreyandreev [35.5K]

That's an equal to or less then sign so 10 or anything below should be correct

3 0

2 years ago

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Evaluate the variable expression when a=-4, b=2, c=-3, and d =4. b-3a/bc^2-d

gtnhenbr [62]

Answer:

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

$\dfrac{b-3a}{bc^{2}-d}=1$

Step-by-step explanation:

Evaluate:

$\dfrac{b-3a}{bc^{2}-d}$

When a=-4, b=2, c=-3, and d =4

Solution:

Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get

$\dfrac{b-3a}{bc^{2}-d}=\dfrac{2-3(-4)}{2(-3)^{2}-4}\\\\=\dfrac{2+12}{18-4}\\\\$

$\dfrac{b-3a}{bc^{2}-d}=\dfrac{14}{14}=1$

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

$\dfrac{b-3a}{bc^{2}-d}=1$

6 0

3 years ago