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Exponents
Logarithms
Condensing Logs
Expanding Logs
Applications
100
What is 5^3 equal to?
What is 125?
100
log2(x)=4 What is X equal to?
What is x=16?
100
What is the condensed version of log_2(x)+log_2(y)+log_2(z)?
What is log_2(xyz)?
100
What is the expanded version of Log_2(8x^4/5)?
What is log_2(8x^4)-log_2(5)?
100
You are studying a bacteria population. The population originally started with 6000 bacteria cells. After 2 hours, there were 28,000 bacteria cells. What is the exponential function that could be used to model the number of bacteria after x hours if the number of bacteria changes at the same rate?
What is f(x)= 6000 (2.16025)^x
200
What is 4^3+6^4 equal to?
What is 1360?
200
log4(x^2) = log4(2x–1). What is the value of X?
What is X=1?
200
What is the condensed versions of log_3(x)-log_3(2)?
What is log_3(x/2)?
200
What is the expanded versions of log_2(7x^3/y)?
What is log_2(7)+3log_2(x)-log_2(y)?
200
The equation for wind speed w, in miles per hour, near the center of a tornado is w=93 log d+65, where d is the distance in miles that the tornado travels. What is the exponential form of this equation?
What is d=10 w-65/93?
300
What is 1/4^3 equal to?
What is 1/64?
300
log2(x)+log2(x-2)=3 What is the value of X?
What is X=4,-2?
300
What is the condensed version of 2log_5(m)+3log_5(k)-8log_5(y)?
What is log_5(m^2 k^3/y^8)?
300
log_4 x y^3 What is the expanded version?
What is log_4 (x) + 3log_4 (y)?
300
An $1,000 investment is made in a trust fund at an annual percentage rate of 12%, compounded monthly. How long will it take the investment to reach $2,000?
What is 5 years and 10 months?
400
7^3x+4=49^2x+1 What is x equal to?
What is 2?
400
log_3(x)=15/7 What is x equal to?
What is approximately 46.3165164793
400
5log (x)-6log (y)- 7log (x) What is the condensed form?
What is log(1/y^6 x^2)?
400
log(xy/zw) What is the expanded form?
What is log(x) + log(y)- log(z) - log(w)
400
The equation for wind speed w, in miles per hour, near the center of a tornado is w=93 log d+65, where d is the distance in miles that the tornado travels. In May 1999, a tornado devastated Oklahoma City with the fastest wind speed ever recorded. If the tornado traveled 525 miles, estimate the wind speed near the center off the tornado.
What is 318 mph?
500
4^2x-5=64^3x What is X equal to?
What is -5/7?
500
2log3+1/2 log16-log3=logx
What is x=12
500
3/2log(x^4)+2/3 log(y^6) What is the condensed form?
What is log(x^6 Y^4)?
500
What is the expanded version of log_2(7x^3 y)^1/2?
What is 1/2(log_2[7]+3log_2[x]+log_2[y])
500
In the 1930's, Dr.Frank Benford demonstrated a way to determine whether a set of numbers has been randomly chosen or manually chosen. If the sets of numbers were not randomly chosen, then the Benford formula, P=log_10(1+1/d), predicts the probability of a digit d being the first digit of the set. For example there is a 4.6% probability that the first digit is 9. What is the digit that has a 9.7% probability of being selected?
What is 4?