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3 years ago

Use the change of base formula to evaluate log3(10)

Mathematics

1 answer:

o-na [289]3 years ago

8 0

Answer:

1/log (3) ≈ 2.095903274

Step-by-step explanation:

To change base to base c loga(b) = logc (b)

--------------

logc ( a)

We have base 10 in our calculators so we will switch to base 10. The 10 is implied when we just write log

log3(10) = log 10

-----------

log 3

log 10 =1

log3(10) = 1

-----------

log 3

= 2.095903274

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Ico

Anna [14]

Answer:

a = 6

Step-by-step explanation:

-6(2 + a) = -48

it is basically 2 steps

Divide by -6 first

(2 + a) = -48 / -6

2 + a = 8

minus the 2

a =6

5 0

3 years ago

Read 2 more answers

6. Let A and B be nxn matrices . Compute (A + B) (A + B). Explain all steps.

Pie

Answer:

(A+B)(A+B)=A.A+B.A+A.B+B.B

Step-by-step explanation:

Given that matrices A and B are nxn matrices

We need to find (A+B)(A+B)

For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.

We know that that in matrices AB is not equal to BA.

Now find

(A+B)(A+B)=A.A+B.A+A.B+B.B

So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.

So (A+B)(A+B)=A.A+B.A+A.B+B.B

4 0

3 years ago

Mrs. Jones is building wooden picture frames. She has 1 5/8 of wood and needs 3/4 for each frame. How many frames can she make w

jonny [76]

Answer:

$2\frac{1}{6}\ frames$

Step-by-step explanation:

we know that

To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4

$1\frac{5}{8}:\frac{3}{4}$

Convert mixed number to an improper fraction

$1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}$

substitute

$\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames$

Simplify

$\frac{13}{6}\ frames$

Convert to mixed number

$\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames$

6 0

3 years ago

Solve the linear equations <br> 1/4(x-5)+4=1/3(2x+7)-5/6

quester [9]

Answer:

x = 3

Step-by-step explanation:

Given the linear equation :

1/4(x-5)+4=1/3(2x+7)-5/6

(x-5)/4 + 4 = (2x+7)/3 - 5/6

Take the lcm and sum

(x-5+16)/4 = (4x+14-5)/6

(x+11)/4 = (4x+9)/6

Cross multiply

6(x+11) = 4(4x+9)

6x + 66 = 16x + 36

Collect like terms

6x - 16x = 36 - 66

-10x = - 30

x = 30/10

x = 3

6 0

3 years ago

Calculate the volume of this prism<br> 20 cm<br> 30 cm<br> 10 cm

Ghella [55]

Answer:

$6000(cm)^{3}$

Step-by-step explanation:

$30 \times 10 \times 20$

$300 \times 20$

$6000(cm)^{3}$

<h3>Hope it is helpful...</h3>

5 0

3 years ago