In Exercises 1-40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln [ x 3 x 2 + 1 ( x + 1 ) 4 ]
In Exercises 1-40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln [ x 3 x 2 + 1 ( x + 1 ) 4 ]
Solution Summary: The author explains that the expanded form of the expression is 3mathrmlnx+12
In Exercises 1-40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
Jamal wants to save $48,000 for a down payment on a home. How much will he need to invest in an
account with 11.8% APR, compounding daily, in order to reach his goal in 10 years? Round to the
nearest dollar.
r
nt
Use the compound interest formula, A (t) = P(1 + 1)".
An account is opened with an intial deposit of $7,500 and earns 3.8% interest compounded semi-
annually. Round all answers to the nearest dollar.
a. What will the account be worth in 10 years? $
b. What if the interest were compounding monthly? $
c. What if the interest were compounded daily (assume 365 days in a year)? $
Kyoko has $10,000 that she wants to invest. Her bank has several accounts to choose from. Her goal is
to have $15,000 by the time she finishes graduate school in 7 years. To the nearest hundredth of a
percent, what should her minimum annual interest rate be in order to reach her goal assuming they
compound daily? (Hint: solve the compound interest formula for the intrerest rate. Also, assume there
are 365 days in a year)
%
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How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY