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Logs!
Exponential EQ's
Word Problems
Solving Exponential EQ's
Solving Log EQ's
100
Simplify the expression: log (base 2) 8
What is 3?
100
Write the exponential equation 2^5= 32 in logarithmic form.
What is log (base 2) 32= 5 ?
100
If a single pane of glass obliterates 3% of the light that passes through it, the percent p of light that passses through n successive panes is given by the function p(n)=100(0.97)^n. What percent of light will pass through 10 panes?
What is 74%?
100
Solve: 8^(2x)=8^(x+7)
What is x=7?
100
Solve: log x = 3
What is 1000?
200
Write the equation log (base 3) 729 = 6 in exponential form.
What is 3^6=729 ?
200
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
200
If a single pane of glass obliterates 3% of the light that passes through it, the percent p of light that passses through n successive panes is given by the function p(n)=100(0.97)^n. What percent of light will pass through 25 panes?
What is 47%?
200
Solve: 25^(x+2)=5^(3x-1)
What is x=5 ?
200
log (base 3) x = 4
What is x = 243 ?
300
Write the equation log 1000 = 3 in exponential form.
What is 10^3=1000 ?
300
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
300
An amplifier's power output P (in watts) is related to its decibel voltage gain d by the formula P=25e^(0.1d) Find the power output for a decibel voltage gain of 4 decibels.
What is 37.3 W?
300
Solve: e^(2x)=e^(x-1)
What is x=-1?
300
Solve: ln e^x = 3
What is x= 3 ?
400
What is the asymptote of the graph of f(x) = log (x - 1) ?
What is x=1 ?
400
What is the asymptote of the graph f(x)= 2^(x) +1 ?
What is y= 1
400
An amplifier's power output P (in watts) is related to its decibel voltage gain d by the formula P=25e^(0.1d) For a power output of 50 watts, what is the decibel voltage gain?
What is 6.9 dB?
400
Solve: 3^(3 - x)*3^2x= 27
What is x= 0 ?
400
Solve: log (base 2) x - 7 = 2
What is x = 11 ?
500
What is the asymptote of the graph of f(x)= log(x + 2) -1 ?
What is x= -2 ?
500
Simplify ln e ^(3x)
What is 3x?
500
A model for the number N of people in a college community who have heard a certain rumor is N=1000(1-e^(-0.5d)), where d is the number of days that have elapsed since the rumor began. How many days will elapsed before 450 students have heard the rumor?
What is 1.2 days?
500
Solve: 2^(2x+1) * 2 = 1/4
What is x = -2 ?
500
Solve: log (base 3) (x^2+2x) = 1 Hint: two answers
What is x= -3 and x = 1 ?