Natural Logarithmic Equations
Using A Calculator: Find the value of
ln15=x
x=2.71
Solve for x
Log_2(8)=x
x=3
Use properties of logarithms to expand the following logarithmic expression:
log(5/12)^3
3log5-3log12
Is the following Exponential Function: Growth OR Decay
y=100(1/3)^x
Decay
Evaluate
3e^(2x+1)=12
x=.193
What is the solution for x
log536=x-2
x=4.23
Using properties of Logarithms condense the following expression and SIMPLIFY AS MUCH as POSSIBLE:
log_2(6)+log_2(8/3)
log_2(16)
4
log1=0
Is the following statement true or false?
True
Solve. Round to the nearest hundredth if necessary.
e^(2x)-4=0
x=0.6931
Solve each equation. Round to the nearest hundredth if necessary.
9-2log(2x+1)=25
x=-.49
Expand the following natural logarithm:
ln(root(3)(x/y))
1/3lnx-1/3lny
Solve the following exponential equation:
3^(5x)+1=37
x=0.65
Solve the natural logarithmic equation:
-3+ln(2x-1)=-1
x=4.195
Solve each equation. Round to the nearest hundredth if necessary.
log34+log3(x+2)=log362
x=13.5 or x=27/2
Expand the following Logarithm and SIMPLIFY AS MUCH AS POSSIBLE:
log_6(36x^3)
2+3log_6x
What is the parent function of f(x) and its transformations?
f(x)=-1/2log(x)+2
Reflection over x-axis
Compression(shrink) by a factor of 1/2
Vertical Shift up 2
3+4ln(2x)=15
Solve the natural logarithmic equation?
x=10.043
Solve for x:
log_2(5x+1)=log_2(8)+log_2(2)
x=3
Condense the following logarithmic expression:
1/3[5ln(x+5)-lnx-ln(x^2-16)]
ln(root3(((x+5)^5)/(x(x^2-16))))
or
ln((x+5)^(5/3)/(x^(1/3)(x^2-16)^(1/3)))
Solve the following exponential equations:
10^(2x-1)=10^(3x+4)
x=-5