Equivalent equations are equations that have the same value
The equation in logarithmic form is
<h3>How to rewrite the equation</h3>
The expression is given as:
Take the logarithm of both sides
Apply the power rule of logarithm
Divide both sides by log(10)
Apply change of base rule
Divide both sides by 2
Rewrite as:
Hence, the equation in logarithmic form is
Read more about logarithms at:
brainly.com/question/25710806
Answer:
(x) =
Step-by-step explanation:
let y = f(x) , then rearrange making x the subject
y = 6x + 7 ( subtract 7 from both sides )
y - 7 = 6x ( divide both sides by 6 )
= x
Change y back into terms of x with x = (x) , then
(x) =
Answer:
Is there a question?
Step-by-step explanation:
Answer:
The interest rate is 7.58%
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
A = P, where
- A is the future value of the investment, including interest
- P is the principal investment amount (the initial amount)
- r is the interest rate in decimal
- t is the time the money is invested for
∵ Angus has $3,000 he want to invest
∴ P = 3000
∵ The interest rate is compounded continuously
∵ Angus has $5,500 in 8 years
∴ A = 5500
∴ t = 8
→ Substitute them in the rule above to find r
∵ 5500 = 3000
→ Divide both sides by 3000
∴ =
→ Insert ㏑ in both sides
∵ ㏑( ) = ㏑()
→ Remember ㏑() = n
∴ ㏑( ) = 8r
→ Divide both sides by 8
∴ 0.07576697545 = r
→ Multiply it by 100% to change it to a percentage
∴ r = 0.07576697545 × 100%
∴ r = 7.576697545 %
→ Round it to the nearest hundredth
∴ r ≅ 7.58
∴ The interest rate is 7.58%
Answer:
3900
Step-by-step explanation:
12/100 x 32,500/1
=3900
the ownership after year will be 3900