Rational
8 = x^(3/2)
x=4
Evaluate
log_3(9)=
2
Simplify
log_3(10)
x = 2.096
Solve for x
4^x*(1/4)^3=16
5
simplify / write without an exponent:
81^(-1/2)
1/9
9=(x+1)^(1/2)
x=80
Evaluate
log_4 (8) =
x = 2/3
since: 2^(2x)= 2^3
Solve for x
e^x=4
x = 1.306
Solve:
5^(x-1)*5^(3x+2)=5^(7x+16)
-5
simplify / write without an exponent:
(1/64)^(2/3)
1/16
20=4+(2^x)
x=4
2 log x + log3 = log 75
x = 5
since
3x^2 = 75
x^2 = 25
Solve for x
10+3^x = 16
x = 1.631
write the following expanded form into an expression:
(1/12)^(4x+3)*12^(2x)=12^(2x+9)
-3
write the following in exponential form and simplify:
∜(16)^2
16^(2/4)
16^(1/2)
4
16^(3/4)
8
Solve:
log_3(2x)-log_3(x-2) = log_3(4)
x = 4
(2x)/(x-2) = 4
2x = 4(x-2)
Solve for x
5^(x-8)=45
x = 10.365
write the following as an expression:
(1/9)^(2x)*3^(x+5)=81^(x+3)
-1
Solve:
4∛(x-1) = 20
126
Solve: x^(4/3) = 81
x =27
Solve for x
log_2(2x)+log_2(5)= 3
x = 4/5 (or 8/10) since
log_2(10x)=3
10x=2^3
Solve: (Extra Credit Level!)
3^(4x+1)=8^(x-5)
x = -4.966
Negative answer is okay since it was not originally a log
solve:
(1/16)^(x+7)*64^(x+5)=(1/32)^4
Solve:
√(4x-14) = √(-4-x)
NO REAL SOLUTION!!
(x = -2 does not check, it is extraneous!)