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Anestetic [448]
3 years ago
6

Evaluate log (Base3) 9

Mathematics
1 answer:
klasskru [66]3 years ago
7 0
Rewrite as an equation.<span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</span></span>Rewrite <span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</span></span> in exponential form using the definition of a logarithm. If <span>xx</span> and <span>bb</span> are positive real numbers and <span>bb</span> does not equal <span>11</span>, then <span><span><span>logb</span><span>(x)</span>=y</span><span><span>logb</span><span>(x)</span>=y</span></span> is equivalent to <span><span><span>by</span>=x</span><span><span>by</span>=x</span></span>.<span><span><span>3x</span>=9</span><span><span>3x</span>=9</span></span>Create equivalent expressions in the equation that all have equal bases.<span><span><span>3x</span>=<span>32</span></span><span><span>3x</span>=<span>32</span></span></span>Since the bases are the same, the two expressions are only equal if the exponents are also equal.<span><span>x=2</span><span>x=2</span></span>The variable <span>xx</span> is equal to <span>22</span>.<span>2</span>
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Ms. Gallegos burns 236 calories while riding her bike each hour. She wants to burn more than 590 calories riding her bike at the
olga2289 [7]

Answer:

T > 2.5

Explaination -

t > 2.5

t < 2.5

t > 0.4

t < 0.4

Here it is given that Gallegos burns 236 calories riding her bike each hour.

She wants to burn more than 590 calories riding her bike at the same rate.

Let the time required = t hours

So

236t > 590

⇒ t > 590/236

⇒ t > 2.5

<em>Therefore, the answer is </em> t > 2.5

7 0
3 years ago
The low temperature (in degrees Fahrenheit) for one week in Minneapolis, MN were Mon Tue Wed Thur Fri Sat Sun –6 –4 –5 2 0 3 –7
Alika [10]
Part A : You want to arrange the larger negative numbers to the left, so the number farthest left would be -7, followed by -6, -5, -4, and then 0. Then 2 is next, followed by 3. So the answer would be : -7, -6, -5, -4, 0, 2, 3.

Part B : So on that day on January, it's saying the Minnesota's degree was -14 degrees Fahrenheit and New York was -5. And he's saying that New York is colder. This is incorrect because people often make this mistake when working with negative numbers. Think of the numbers on a number line, on the negative side, the farther you are away from zero, the colder it will be. The closer you are to zero on the negative side, the less colder it'll be. On the positive side, the farther you are away from zero, the hotter it will be. The closer you are to zero on the positive side, the more warmer, this is why he is incorrect.

Part C : It would be -61 degrees Fahrenheit, because as I mentioned earlier, the farther you are away from zero on the negative side, the colder it'll be. 




4 0
3 years ago
Read 2 more answers
You have 10 marbles. 4 of them are red and 6 of them are blue. How many different and unique ways can you sort these marbles and
mihalych1998 [28]

See https://web2.0calc.com/questions/help_65031.

7 0
3 years ago
Alana’s baby brother weighed 137 oz when he was born. What is his weight in pounds<br> and ounces?
OverLord2011 [107]
8 pounds and 562 oz
4 0
3 years ago
Find m∠C. Put the answer below.<br> m∠C =
Wewaii [24]

Answer:

∠ C ≈ 66.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = \frac{opposite}{adjacent} = \frac{DE}{CE} = \frac{7}{3} , then

∠ C = tan^{-1} ( \frac{7}{3} ) ≈ 66.8° ( to the nearest tenth )

3 0
3 years ago
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