All categories

1 year ago

2,104.50 divided by 122

Mathematics

1 answer:

ryzh [129]1 year ago

8 0

Answer:

17.25

Step-by-step explanation:

You might be interested in

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

F(x)=2x-1 g(x)=3 h(x)=x²+1 Compute the following: Find f(3)

inn [45]

If f(x)=2x-1 just plug in the 3 where x is. So it would be 2(3)-1=5

6 0

2 years ago

Mr. Wallace gave a test to his math classes. He created a histogram that showed the frequency of As, Bs, and Cs. He labeled the

Gennadij [26K]

Answer:

Step-by-step explanation:

I got it right on Khan Academy

3 0

2 years ago

Round to the nearest tenth: 6.932635 6.9 6 6.8 7

Lera25 [3.4K]

6.932635
^ This is the tenths place.

Since the number after it is less than 5, we round down.

So we round to:

6.9

7 0

2 years ago

Read 2 more answers

Daniel wants to ship a set of golf clubs and several boxes of golf balls in a box that can hold up to 20 pounds. If the set of c

nirvana33 [79]

Answer:

Step-by-step explanation:

4 0

2 years ago