Question 1

Evaluate the function $f(x) = 4^x$, for the values -2, -1, 0, 1, 2

Question 2

What would you do with the table from $f(x)=4^x$ to fill in the table $log_{4}x$?

Accepted Answer

switch the x's and y's

Answer

nothing, only the domain and range change

Answer

Evaluate the log using the calculator

Answer

call BAE

Question 3

Match the function with the domain, range, and asymptote.

Question 4

Match the transformation with the function.  Given the parent function $f(x)=3^x$

Question 5

A total of $5100 is invested at an annual interest rate of 1.5%.  Find the balance in the account after 10 years if the interest is compounded quarterly.  Round to 2 decimal places.

Accepted Answer

$5923.69

Question 6

A total of $5100 is invested at an annual interest rate of 1.5%.  Find the balance in the account after 10 years if the interest is compounded continuously.  Round to 2 decimal places.

Accepted Answer

5925.35

Question 7

Rewrite from logarithmic to exponential form. $log_{3}81=4$

Accepted Answer

$3^4=81$

Answer

$81^3=4$

Answer

$81^4=3$

Answer

$4^3=81$

Question 8

Rewrite from exponential to logarithmic form. $6^{3}=216$

Accepted Answer

$log_{6}216=3$

Answer

$log_{6}3=216$

Answer

$log_{216}6=3$

Answer

$log_{3}216=6$

Question 9

Use the properties of logarithms to simplify the expression $5^{log_{5}x}$

Accepted Answer

x

Question 10

Given the $log_{b}2\approx1.323$ and $log_{b}3\approx1.756$ find the value of $log_{b}12$

Accepted Answer

4.402

Question 11

Use the properties of logarithms to expand $ln(\frac{2x}{yz^2})$

Accepted Answer

$ln2+lnx-lny-2lnz$

Answer

$ln2+lnx+lny-lnz$

Answer

$2lnx-lny-2lnz$

Answer

$ln2x-2lnyz$

Question 12

Condense: $3logx + log(x+1) - log(x+2)$

Accepted Answer

$log\frac{x^{3}(x+1)}{x+2}$

Answer

$logx^3(x+1)(x+2)$

Answer

$log\frac{x(x+1)}{x+2}$

Answer

$log\frac{x^{3}}{(x+1)(x+2)}$

Question 13

Solve for x.  Round to 3 decimal places   $15^{2x} = 500$

Accepted Answer

1.147

Answer

2.295

Answer

7.562

Answer

16.667

Question 14

Solve for x.  Round to 3 decimal places.  $ln 5x = 2.5$

Accepted Answer

2.436

Answer

1.553

Answer

2.331

Answer

2.514

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