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3 years ago

Solve the logarithmic equation

Mathematics

1 answer:

vichka [17]3 years ago

8 0

$\text{We know:}\\\\\log_ab=c\iff b=a^c\\\\y=\log_{10}0.0001\\\\y=\log_{10}10^{-4}\to\boxed{y=-4}$

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Please Help, 20 Points !!

Svetllana [295]

Answer:

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3 years ago

The general term for the sequence 2, 4, 8, 16, 32, . . . is

Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

$r_1=\frac{4}{2}=2$

r2=(third term)/(second term)

$r_2=\frac{8}{4}=2$

r3=(fourth term)/(third term)

$r_3=\frac{16}{8}=2$

r4=(fifth term)/(fourth term)

$r_4=\frac{32}{16}=2$

we can see that all four ratios are same

$r_1=r_2=r_3=r_4=2$

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

$r=2$

Let's assume

number of terms is n

first term is 2

$a_1=2$

now, we can use formula

$a_n=a_1 (r)^{n-1}$

we can plug values

and we get

$a_n=2(2)^{n-1}$

$a_n=2^1(2)^{n-1}$

$a_n=(2)^{n-1+1}$

$a_n=(2)^{n}$ ..................Answer

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3 years ago

Agora chess club has 16 members and gains a new memeber every month. The key club has 4 members and gains 4 new members every mo

svlad2 [7]

Answer:

For chess club:

y1 = 16 + 1*x where y1=total number of members after x months

For film club

y2 = 4 + 4*x where y2=total number of members after x months

y1 = y2 at

16 + x = 4 + 4x

3x = 12

x = 4

Therefore, after 4 months they the same number of members (equals 20 members, 16 + 1*4 or 4 + 4*4).

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3 years ago

What is the area of the triangle below (in square units)?

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Answer:

It is 50 cm squared hxb/2=a

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3 years ago

Which property can be used to solve the equation?<br><br> 5 d = 75

timama [110]

Answer:

Division

Step-by-step explanation:

To isolate d and solve the equation, divide 75 by 5.

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3 years ago

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