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3 years ago

What expressions are equivalent to 2^5*2^x

1 answer:

4 0

The rules of exponents tell you
(a^b)·(a^c) = a^(b+c)
Then
(2^5)·(2^x) = 2^(5+x)
Since 2^5 = 32, this is also equivalent to
32·2^x

The appropriate choices are ...
C) 32·2^x
D) 2^(5+x)

You might be interested in

-2x + 10 +4x=70 (what is X?)

Dovator [93]

Answer:

x = 30

Step-by-step explanation:

-2x + 10 +4x=70

-10 -10

-2x + 4x = 60

2x = 60

/2 /2

x = 30

8 0

3 years ago

Read 2 more answers

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

HELP ASAP!!!!<br> GIVING BRAINLIEST!<br><br> Find the value of x and y with the steps PLEASE.

PtichkaEL [24]

Answer:

x=70

y= 40

Step-by-step explanation:

the triangle containing x is an isosceles triangle so two of the sides are 55.

55+55+x=180.

110+x=180

110-110+x=180-110

x=70

Triangle BAC is equilateral so 180/3=60. Now

x+60+c=180

70+60+c=180

130+c=180

130-130+c=180-130

c=50

That gives us one corner of triangle CBD. We know a second angle is 90 so

50+90+y=180

140+y=180

140-140+y=180-140

y=40

I think that is correct but you are free to check it yourself

6 0

2 years ago

Can someone help me please?

Genrish500 [490]

Answer:

Step-by-step explanation:

The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).

The sum of a triangles' angles is 180 degrees.

Therefore 4v-44 = 180.

v - 11 = 45

v = 56 degrees

Note: always check if the answer makes sense

6 0

3 years ago

Read 2 more answers

Simplify

Lapatulllka [165]

Answer:

$\frac{4\sqrt{5} }{5}$

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

7 0

2 years ago