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3 years ago

Convert (1/3)^x=27 to logarithmic form, with work worked out!

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

${a}^{x} = m \\ log_{a}(m) = x$

$( \frac{1}{3} )^{x} = 27 \\ log_{ \frac{1}{3} }(27) = x$

That's the logarithmic form. Do you need with solving the equation too?

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The graph shows the relationship between the hours a soccer team practiced after the season started and their total practice tim

Sergio [31]

Answer:

6 hours

Step-by-step explanation:

The picture of the question in the attached figure

Let

x ----> the hours a soccer team practiced after the season started

y ----> the total practice time for the year in hours

we know that

The y-intercept of a linear equation is the value of x when the value of y is equal to zero

In the context of this problem, the y-intercept is the total practice time before the season began (the value of x is equal to zero)

Looking at the graph

The y-intercept is the point (0,6)

therefore

the total practice time before the season began is 6 hours

5 0

3 years ago

A community college has 2,000 students and 50 instructors. Next year the enrollment will be 6,000. How many new instructors shou

juin [17]

$\begin{array}{ccc}2,000&-&50\\\\6,000&-&x\end{array}\\\\\\2,000x=50\times6,000\ \ \ \ \ /:2,000\\\\x=\frac{300,000}{2,000}\\\\x=150\\\\150-50=100\\\\Answer:100\ new\ instructors.$

7 0

4 years ago

Find the exact length of the third side. 5 3

grandymaker [24]

I'm going to assume you want to find the third side of a triangle. We can use the pythagorean theorem to solve; a^2 + b^2 = c^2

a = 5

b = 3

c = ?

Solve.

5^2 + 3^2 = c^2

25 + 9 = c^2

34 = c^2

√34 = √c^2

5.8 ≈ c

Best of Luck!

5 0

4 years ago

Write a function rule for the table x 2 3 4 5 f(x) -8 -12 -16 -20

sweet-ann [11.9K]

Write a function rule for the table 5

f(x)

-8

-12

-16

-20

4 0

3 years ago

George has a small coin collection. He has collected 16 gold coins, 28 silver coins, 32 copper coins, and 4 bronze coins. At a f

irakobra [83]

First you add up the number of coins in total so:
16+28+32+4
which equals: 80
Then to find 15% you have to do this:
80 divided by 100 then multiply by 15 which is 12.
The answer is 12.

4 0

3 years ago