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2 years ago

Solve each logarithmic equation. Round your answer to two decimal places.

Mathematics

2 answers:

olchik [2.2K]2 years ago

6 0

Answer:

x = 2

Step-by-step explanation:

Given equation

$log_416=x$

Use the property of logarithm

$log_ab=c$ ⇒ $b = a^c$

Apply to the given equation

$16 = 4^x$
$4^2=4^x$
$2 = x$
$x=2$

irga5000 [103]2 years ago

3 0

Let's see

$\\ \rm\Rrightarrow log_416=x$

$\\ \rm\Rrightarrow 16=4^x$

$\\ \rm\Rrightarrow 4²=4^x$

$\\ \rm\Rrightarrow x=2$

Done!

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3 years ago

Alex rolls a six-sided number cube 570 times. Approximately how many times can he expect to roll a 5?

madreJ [45]

Answer:

95 times

Step-by-step explanation:

Probability of rolling a 5 =1/6

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3 years ago

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A season has96 home games. If you purchase a season ticket in the bleacher section, what is the cost per game,in dollars, for th

sattari [20]

Answer:

$8.4375 per game

Step-by-step explanation:

From. The picture attached :

Season long Ticket cost for the bleachers sitting area is : $810

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Cost of season long Ticket / number of home games

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5 0

3 years ago

In the interval 0 x 360 find the values of x for which cos x =0.7252

Sergeeva-Olga [200]

Answer:

$x_1 = 43.5145\°$

$x_2 = 316.4855\°$

Step-by-step explanation:

We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).

Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.

The value of x can be calculated using:

$x = arccos(0.7252)$

Using this function in a calculator (you may find it as: $cos^{-1}(x)$ ), we have that:

$x_1 = 43.5145\°$

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

$x_2 = 360\° - 43.5145\° = 316.4855\°$

So the values of x are:

$x_1 = 43.5145\°$

$x_2 = 316.4855\°$

7 0

3 years ago

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Sindrei [870]

Answer:

3/2

Step-by-step explanation:

Because the problem tells you that the two triangles are similar, the value of a/b would be equivalent for both triangles. The fact that they are right triangles also indicates which sides are which in case the image was not drawn to scale. A is proportional to 2.1 and b is proportional to 1.4. So a/b= 2.1/1.4. This can reduce itself to 3/2 because both are divisible by .7

5 0

3 years ago