Which of the following is equal to log 6

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Note: Log A + Log b = Log(A*B)

a) log 2 + log 3 = log (2*3)
= log6.

Answer =a.

slavikrds [6]3 years ago

3 0

$log_ab+log_ac=log_a(b\cdot c)\\\\log_ab-log_ac=log_a(b:c)\\\\log_ab^c=c\cdot log_ab$

$\boxed{a)\ log2+log3=log(2\cdot3)=log6}\\\\b)\ log2-log3=log(2:3)=log\frac{2}{3}\\\\c)\ 2log2+log3=log2^2+log3=log4+log3=log(4\cdot3)=log12\\\\d)\ 2log2-log3=log2^2-log3=log4-log3=log(4:3)=log\frac{4}{3}$

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$18, P = $200, r = ?, t = 1.5 years. Find the annual interest rate.

faust18 [17]

Question 1)

Given

Interest I = $18

Principle P = $200

t = 1.5 years

To determine

Interest rate r = ?

Using the formula

$P = Irt$

$r=\frac{I}{Pt}$

susbtituting I = 18, t = 1.5 and P = 200

$r=\frac{18}{\left(200\times 1.5\right)}$

$r = 0.06$

r = 6% ∵ 0.06 × 100 = 6%

Therefore, we conclude that the interest rate required to accumulate simple interest of $18.00 from a principal of $200 over 1.5 years is 6% per year.

Question 2)

Given

Interest I = $60

Principle P = $750

Interest rate = 4% = 0.04

To determine

Time period t = ?

Using the formula to calculate the time period

$P = Irt$

$t\:=\:\frac{P}{Ir}$