Converting Log and Exponential Form
Convert to Exponential Form:
log_2(8)=x
2^x=8
Solve for x:
5^(2x)=21
x=0.95
Condense the Logarithms:
log_3(30)
x>3 and x< 4 or 3<x<4
Solve using Logarithms:
log_7(49) = x
x=2
Convert to Logarithmic Form:
4^y=x
log_4(x)=y
Solve for x:
5*2^x=240
x=5.58
The percent increase of the function
A(d)=100*e^0.25d
25%
Solve Using Logarithms:
log_3(1/27)=
x= -3
Convert to Exponential Form:
log_(x)(4)=2y
(x)^(2y)=4
Solve for x:
3^(2x)=27
x=2
or
x=1.5
For this function, for what value of d will it equal 1000
A(d)=100*e^0.25d
ln 10/0.25
Solve by Converting:
log_4(x)=-5
x=
x = 1/1024
Convert to Exponential Form:
log_(3)(5-z)=4y
(3)^(4y)=5-z
Solve for x:
2*3^(x-5)=12
x=6.63
Condense the Logarithms:
3(10)^(2y)=3600
(log_10 1200)/2
Solve using Logarithms:
log_x(1/64) = -2
x = 8
Convert to Logarithmic Form:
2^(x+4)=y
log_2(y)=x+4
Solve for x:
2^(3x)-7=13
x=1.44
What does 0.034 represent in context:
1(e)^0.034
0.034 growth rate of the account or 3.4%
Solve using Logarithms:
log_(x+2)(16)=2
x=2