Back and Forth
Choppin' Trees
Solve 'Em
Exponent Rules!
Woodworking 101
100
Convert this logarithmic function into an exponential function:
log_2(32)=5
2^5 = 32
100
Evaluate:
log_5(125)
3
100
Solve:
3^x=81
x = 4
100
2^3xx2^2 = 2^x
x = 5
100
Condense this expression into a single logarithm:
log(x-3)-log(x)
log((x-3)/x)
200
Convert this exponential function into a logarithmic function:
15^2 = 225
log_15(225)=2
200
Evaluate:
log_4(1/64)
-3
200
Solve:
log_2(x)=-3
x=1/8
200
(3^2)^3
3^6
OR
729
200
Expand this logarithm using log rules:
log_5(5x)
log_5(5)+log_5(x)
300
Determine which student correctly completed the problem, explain the errors in the incorrect work.
Michael is correct, Jalynn is incorrect. 10^3= 1000 not 30, she also did not use inverse operations and subtracted 4 from both sides.
300
Evaluate
log_(1/3)9
-2
300
Solve:
log_3(4x-5)=3
x=8
300
Simplify with positive exponents:
4^3/(4^6)
4^-3
is NOT the final answer, because it doesn't have a POSITIVE exponent.
1/4^3 or 1/64
300
Expand this expression:
log_2((8y^2)/(x+4))
log_2(8)+2log_2(y)-log_2(x+4)
400
What is this function in exponential form:
log(0.0001)=-4
10^-4=0.0001
400
log(x)=0
ANYthing to the zero exponent equals... one.
1
400
Solve for x:
3(2^x)-1 =47
x = 4
400
Solve for p.
(7^(2/3))(7^(1/3))^4 = 7^p
p = 2
400
Expand this expression using log rules:
log((x^3y^4)/z^5)
3logx+4logy-5logz
500
FINAL JEOPARDY:
Jasmine deposits $520 into a savings account that has a 3.5% interest rate compounded monthly. What will be the balance of Jasmine’s savings account after two years?
$557.64 or $557.65