Solving level 1
Solving level 2
Log Properties
Exponential word problems
100
Solve the following... round to the nearest hundredth if necessary.
log4(x)=3
x=64
100
Solve the following and round to the nearest hundredth when necessary.
7-4x^6=-25
from 1.4142136
x ≈ +- 1.41
100
Condense the following to a single logarithm.
log(2)+2*log(5)
=log(50)
100
You deposit $14,500 in an account that pays 3.2% yearly interest rate.
Write an exponential model for the money in the account after x years.
Answer HAS to be simplified to be correct.
y =14,500(1.032)^x
200
Solve the following... round to the nearest hundredth, if necessary.
log(5^x)=45
x≈64.38
64.380....
200
Solve the following... round to the nearest hundredth if necessary.
7(10)x-2 = 35
x ≈ 2.70
200
Fill in the blank with the missing logarithm.
Must have log....
log(2964)
200
Create the exponential equation that goes through the two points (2,7.2) and (4,2.592) using y=a(b)^x .
y=20(0.6)^x
300
Solve the following... round to the nearest hundredth if necessary.
log_x(212)=8
from 1.9534036 NO (+ or -) logs cannot have negative bases.
x≈1.95
300
Solve the following... round to the nearest hundredth if necessary.
log(2x-1)=4
x=5,000.50
300
Expand the following logarithm:
\log_9(y^2/3)
2*log_9(y)-log_9(3)
300
You deposit $1,600 in an account that pays 7.2% yearly interest rate.
How long will it take for the account to get to $4,800?
MUST have work shown, no guesstimates.
x ≈ 15.80 years