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Agata [3.3K]
3 years ago
10

NEED HELP What is the real value of x in the equation log.2.24 - log.2.3 = log.5.x ?

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

125

Step-by-step explanation:

log2 (24) - log2 (3) = log5 (x)

We know that log a(b) - log a(c) = log a( b/c)

log2 (24/3)  = log5 (x)

log2 (8) = log5 (x)

Rewriting 8 as 2^3

log2 (2^3) = log5 (x)

We know that log a ( a^b) =  b loga (a) and loga (a) =1

3 log2 (2) = log5 (x)

3 *1 =  log5 (x)

3 = log5 (x)

We know log a (b) =c  can be written as a^c =b

5^3 = x

125 =x

sergey [27]3 years ago
6 0

Answer:

x = 125

Step-by-step explanation:

log2(24) - log2(3) = log5(x)

log2(8×3) - log2(3) = log5(x)

log2(8) + log2(3) - log2(3) = log5(x)

log(8) = log5(x)

log2(2³) = log5(x)

3log2(2) = log5(x)

3 = log5(x)

x = 5³

x = 125

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user100 [1]

The total interest on the mortgage loan  is $219,249.60

What is a mortgage loan?

It is a loan taken in order to purchase a property that requires periodic repayments such as monthly repayment since most mortgages are repaid monthly.

Our first task is to determine the monthly repayment using the present value formula of an ordinary annuity because the monthly payment becomes due at the end of each month.

PV=monthly repayment*(1-(1+r)^-N/r

PV=loan amount=$210,000

monthly repayment=unknown(assume it is X)

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly payments in 30 years=30*12=360

$210,000=X*(1-(1+0.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-(1.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-0.19277525234572900)/0.00458333333333333

$210,000=X*0.80722474765427100/0.00458333333333333

$210,000=X*176.12176312456800000

X=$210,000/176.12176312456800000

X=monthly payment=$1,192.36

total repayments(360 months)=$1,192.36*360

total repayments(360 months)=$429,249.60

Total interest=total repayments(360 months)-loan amount

Total interest=$429,249.60-$210,000

Total interest=$219,249.60

Find more on mortgage payment on:brainly.com/question/22846480

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NEED HELP ASAP!!!!!!!!!!!<br><br> 2. Solve for x<br> 3. Solve for x
Anton [14]

Answer:

2. x = 47

3. x = 2

Step-by-step explanation:

These problems involve proportions, or equivalent ratios.  You can solve for 'x' in each by using cross-multiplication and division.

2.  28(7) = 4(x + 2)

Distribute = 196 = 4x + 8

Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x

Solve for x:  x = 47

3.  2(2x + 7) = 11(3x - 4)

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