Converting Log and Exponential Form
Convert to Exponential Form:
log_2(8)=x
2^x=8
Solve for x:
3^x = 15
x = log(15)/log(3)
Solve using Logarithms:
log_7(49) = x
x=2
Who was the first basketball star player to appear on a box of cereal?
Michael Jordan
Convert to Logarithmic Form:
4^y=x
log_4(x)=y
Solve for x:
5^(2x)=21
x=log(21)/(2log(5))
Solve Using Logarithms:
log_3(1/27)= x
x= -3
What bone are human babies born without?
Knee caps
Convert to Exponential Form:
log_(x-1)(4)=2y
(x-1)^(2y)=4
Solve for x:
8^(x-4)=30
x= log(30)/log(8) + 4
Solve by Converting:
log_4(x)=-5
x=
x = 1/1024
How many time zones are there in the world?
24
Convert to Exponential Form:
log_(3x)(5-z)=4y
(3x)^(4y)=5-z
Solve for x:
5*2^x=240
x=log(48)/log(2)
Solve using Logarithms:
log_x(1/64) = -2
x = 8
What country invented tea?
China
Convert to Logarithmic Form:
10^(x+4)=2y-7
log(2y-7)=x+4
Solve for x:
3^(2x-1)=27
x=((log(27)/log(3))+1)/2
Solve using Logarithms:
log_(x+2)(16)=2
x=2
What was the first country to give women the right to vote?
New Zealand