3 years ago

How to write a logarithm divided by a logarithm as a single logarithm?

1 answer:

8 0

$\frac{log(x)}{log(y)} = log_{y}(x)$

This is known as the "change of base" formula. The ratio is equivalent to the log of the numerator argument to the base of the denominator argument.

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5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times

solong [7]

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

7 0

3 years ago

During a recent election ,53 of every 100 registered voters in certain city voted. If there were 113.100 registered voters in th

Ivanshal [37]

By the rule of 3 simple:
53/100 = x/113100
x = 53*113100/100 = 59943

8 0

3 years ago

Find the area of the figure below<br> (k + 4 )<br> (K-9)

Salsk061 [2.6K]

Answer:

A = k² - 5k - 36

Step-by-step explanation:

(k + 4)(k - 9) = k² - 9k + 4k - 36 = k² - 5k - 36

7 0

3 years ago

BRAINLIESTTTT ASAP!!!!

liq [111]

The answer to this question is :
Part A
((3x+7)+(4x-2))x
(3x+7)+(4x-2): 7x+5
x(7x+5)

Part B
((3x+7)*(4x-2))x
x(12x²+22x-14)
12x³+22x²-14x

Part C
(3x+7)[4x-2(x)]
4x-2(x)
4x-2x
2x
2x(3x+7)

I hope this helps!!!!!!!

3 0

3 years ago

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

Brilliant_brown [7]

$\text{Use:}(*)\ (a+b)^2=a^2+2ab+b^2\\\\2x^2+2x+1=0\ \ \ \ |:2\\\\x^2+x+0.5=0\\\\x^2+2\cdot x\cdot0.5+0.5=0\\\\\underbrace{x^2+2\cdot x\cdot0.5+0.5^2}_{(*)}-0.5^2+0.5=0\\\\(x+0.5)^2-0.25+0.5=0\\\\(x+0.5)^2+0.25=0\ \ \ \ |-0.25\\\\(x+0.5)^2=-0.25\to D)$

Answer: D) (x + 0.5)2 = -0.25

5 0

3 years ago