All categories

4 years ago

HELP ME What is the exponential form of the logarithmic equation? 3=log⬇️0.6 0.216

Mathematics

2 answers:

saw5 [17]4 years ago

7 0

3 =log.6 (.216)

.6 ^3 = .216

x = loga b

a^x =b

klemol [59]4 years ago

4 0

Answer:

$6^{3}=216$

Step-by-step explanation:

The expression is

$3=log_{6} 216$

To transform this logarithm in exponential form, we have to use the definition that relates both functions,

Where the base of the logarithm is the base of the exponential form.

The result of the logarithm is the exponent of the exponential form.

And the argument of the logarithm is the result of the exponential expression.

Now, applying the transformation, we have:

$3=log_{6} 216\\6^{3}=216$

Therefore, the equivalent exponential form is

$6^{3}=216$

You might be interested in

A local waterpark uses 5210 gallons of recycled water each day. How many quarts of water are recycled each day at the waterpark?

never [62]

Answer: 20 840 quarts

Step-by-step explanation:

1 gallon = 4 quarts

5210 x 4 = 20 840 quarts

5 0

3 years ago

Of the volunteers coming into a blood center, 1 in 3 have O+ blood, 1 in 15 have O-, 1 in 3 have A+, and 1 in 16 have A-. The na

Zanzabum

Answer:

Step-by-step explanation:

Given that of the volunteers coming into a blood center, 1 in 3 have O+ blood, 1 in 15 have O-, 1 in 3 have A+, and 1 in 16 have A-.

i.e. we can say out of the volunteers

O+ = $\frac{1}{3}$ = 0.3333

O-= $\frac{1}{15}$ =0.06667

A+= $\frac{1}{3}$ =0.3333

A-= $\frac{1}{16}$ =0.0625

Total = 0.795833

We can say remaining belong to B or AB.

%he probability that the person selected has________.

a. type O+ blood = $\frac{0.3333}{0.7958} =0.4188$

b. type O blood= $\frac{0.3333+0.06667}{0.7958} =0.5026$

c. type A blood = $\frac{0.3333+0.0625}{0.7958} =0.4974$

d. neither type A nor type O blood = $1-0.7958\\= 0.2042$

8 0

3 years ago

Jill had a certain amount of money. she spent 15$ downloading new songs. she has 2/5 of the original amount left. how much money

Lostsunrise [7]

Let's call the original amount of money x.

We know that she has 2/5 of the original amount left, and that this is equal to $15.

Therefore, 2/5(x) = 15, and x = $37.50.

5 0

3 years ago

Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer

worty [1.4K]

Hello there!

"Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer"

To make this easier, we will make it so that both fractions in each pair has like bases.

To make 3/5 and 1/2 have a like base, we must make the denominators 10. To do this, we will do the following:

(3*2)/(5*2) = 6/10

(1*5)/(2*5) = 5/10

Now we can easily compare and not worry about the denominator

So, let's just look at the numerators.

Which is greater, 5 or 6? We know 6 is greater, so:

6/10 > 5/10

That means:

3/5 > 1/2

Now, we must do the same for 2/6 and 1/2

We will make them both 6. So, we can leave 2/6 alone

2/6

(1*3)/(2*3) = 3/6

Now we have 2/6 and 3/6

Which is greater, 3 or 2. The answer to that is 2. So:

3/6 > 2/6

This means that 1/2 > 2/6

Our answers are:

1. 3/6 > 2/6

2. 1/2 > 2/6

I hope I was able to help you!

~ Fire

7 0

3 years ago

Stephanie can paint 4 cars in 1 hour how many cars can she paint in 3.75 hours

VMariaS [17]

In 1 hour she can paint 4 cars, so in 3.75 hours she can paint 3.75*4 = 15 cars

3 0

4 years ago