All categories

3 years ago

12 ^ x = 205 in logarithmic form

Mathematics

1 answer:

Oksanka [162]3 years ago

3 0

Answer:

x=2.142137

Step-by-step explanation:

Solve Exponent.

12x=205

log(12x)=log(205)(Take log of both sides)

x*(log(12))=log(205)

log(205)

log(12)

x=2.142137

You might be interested in

A 115-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.

Basile [38]

4x + x = 150, x=30 (shorter piece)

5x=150

x=150/5 = 30

4x=120

x=30

total = 150

5 0

2 years ago

A person's blood type is denoted with the letters A, B, and O, and the symbols + and - . The blood type A+ is read as A pos

postnew [5]

Answer:

(a) O+ to A+

$O+:A+=90:45$

$O+:A+=18:9$

$O+:A+=2:1$

(b) AB- : AB+

$AB-:AB+ = 6:4$

$AB-:AB+ = 3:2$

$AB-:AB+ = 12:8$

(c): B+ to total

$B+ : Total = 20 : 195$

$B+ : Total = 4 : 39$

$B+ : Total = 40 : 390$

Step-by-step explanation:

Given

$A+ = 45$ $B+ = 20$ $AB+ =6$ $O+=90$

$A-=21$ $B-=0$ $AB-=4$ $O-=9$

$Total = 195$

See attachment

Required

Solving (a): O+ to A+

We have:

$A+ = 45$

$O+=90$

So, the ratio is:

$O+:A+=90:45$ ---- first comparison

Divide by 5

$O+:A+=90/5:45/5$

$O+:A+=18:9$ ---- Second comparison

Divide by 45

$O+:A+=90/45:45/45$

$O+:A+=2:1$ ---- Third comparison

Solving (b): AB- to AB+

We have:

$AB+ =6$

$AB-=4$

So, the ratio is:

$AB-:AB+ = 6:4$ ---- first comparison

Divide by 2

$AB-:AB+ = 6/2:4/2$

$AB-:AB+ = 3:2$ ---- Second comparison

Multiply by 2

$AB-:AB+ = 6*2:4*2$

$AB-:AB+ = 12:8$ ---- Third comparison

Solving (c): B+ to total

We have:

$B+ = 20$

$Total = 195$

So, the ratio is:

$B+ : Total = 20 : 195$ ---- first comparison

Divide by 5

$B+ : Total = 20/5 : 195/5$

$B+ : Total = 4 : 39$ ---- Second comparison

Multiply by 2

$B+ : Total = 20*2 : 195*2$

$B+ : Total = 40 : 390$ ---- Third comparison

4 0

3 years ago

An artist is selling children's crafts. Necklaces cost $2.50 each, and bracelets cost $1.25 each. Select all the combinations of

Kamila [148]

Answer:

8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets

Step-by-step explanation:

15 necklaces and 1 bracelet equals $38.75

8 necklaces and no bracelets equals 20

no necklaces and 16 bracelets equals 20

3 necklaces and 8 bracelets equals 17.5

no necklaces and 8 bracelets equals 10

5 necklaces and 6 bracelets equals 20

7 0

2 years ago

Students in classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices.

Musya8 [376]

Slices of cheese pizza slizes of pepperoni pizza total pizza
   2 5 7
   6    15 21
   8 20    28
   5 1/2 13 3/4 19 1/4
      3 1/3    8 1/3 11 2/3
   3/5    1 1/2 2 1/10

4 0

3 years ago

A textbook search committee is considering 13 books for possible adoption. The committee has decided to select 3 of the 13 for f

laiz [17]

Number of ways in which the 3 can be selected from 13 = 286

Step-by-step explanation:

Step 1:

Number of books considered by the textbook search committee = 13

Number of books selected from this 13 = 3

We need to determine number of ways in which the 3 can be selected from the 13

Step 2 :

The order of the 3 books selected does not matter. So,

Number of ways in which the 3 books can be selected from 13 books = C(13,3) = $\frac{13!}{10! . 3!}$

= $\frac{ 13 . 12 .11 . 10!}{10! . 3! }$

= $\frac{1716}{6}$ = 286

Step 3 :

Answer :

Number of ways in which the 3 can be selected from 13 = 286

8 0

3 years ago