Equations Log Graphs Compound Interest

log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Katy deposited $90 in a savings account earning 5% interest, compounded quarterly. Which of the following equations could represent the amount of money in her account yearly?

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$5000 is deposited in an account that yields 4.75% interest compounded monthly. To the nearest dollar, what would the balance be after 35 years?

If you invest $5,000 into an account paying 6% interest compounded continuously, how many years will it take until there is $8,000 in the account?

• 7.83 years

• 6.83 years

• 9.67 years

• 8.67 years

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

$6500 is invested in a bank account that earns 2.6% interest, compounded monthly. Write an expession that represents the amount of money in the accout after 5 years.

Mathematical Equivalence

ON

Matt earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually (n=1). What will be his balance after 15 year?

• $827.52

• $831.10

• $839.45

• $846.80

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

• $5,229.70

• $7,604.38

• $7,777.27

• $5,538.86