what does the c do in to the log:
logb(x-c)
Shift it right.
How to we write a logarithm
logbx=a
5x=25
2
log3(5x)
log3(5)+log3(x)
Solve the equation:
log5(5x+9) = log5(6x)
x=9
What is the transformation of the log:
logb(x)+38
Shifts up by 38 units
How to write an exponential logarithm
ba=x
log4(37)
2.6
log5(45/9)
log5(45)-log5(9)
Solve the equation:
3log7(4)=log7(4a-8)
a=18
Whats the transformation of the log:
3 logb(x)
Vertical stretch
Whats the quotient formula
logbx-logby=logb(x/y)
log10(30/5)
3log10(4)+log10(5)
log10(320)
Solve the equation
log2(x-4)=6
x= 68
What is the transformation:
1/4logb(x+12)
Vertical compression by a factor of 1/4 and shift left by 12 units
What is the product rule
logb(x)+logb(y)=logb(xy)
log3(9)+log3(16)
log3(144)=4.5
4log4(3)-5log4(6)
log4(1/96)
2logx-log4=2
x= 20
Write an equation with the following transformations
Vertical shrink of 1/2
Shift 7 units left
Shift up 14 units
1/2 logb(x+7)+14
What is the change of base formula
logb(a)=log10(a)/log10(b)
5log4(13)+log4(8)
10.75, extra points if you can work it out in the board.
log221
log2(3)+log2(7)
Solve the equation:
log6(x+9)+log6(x)=2
x=3, -12 is an extraneous solution.