NEW
Font size
WorksheetsApplication of Logarithms
Total questions: 20
Worksheet time: 20mins
Write logb(xy) as two logs
logbx+logby
logbx-logby
logbx*logby
logbx/logby
Use the properties of logarithms to retwrite
A
B
C
D
Expand
log8x+log8y+log8z
5log8x+5log8y+5log8z
log8xy+5log8z
log8x+log8y+5log8z
Condense
logxyz3
log(xy/z3)
logx+logy+logz3
logx3y3z3
Solve the equation for x.
7.389
0.693
0.0183
6.581
A
B
C
D
Log with a base "e" (loge) is the same thing as...
"e"
Natural Logarithm (LN)
Common Logarithm (Log)
Natural Log, base "e"
LNe
Solve for x:
1
2
.5
4
You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account? ( y=Pert )
12.375 Years
177.073 Years
0.175 Years
17.509 Years
You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account?
12.375 Years
177.073 Years
0.175 Years
17.509 Years
Log with a base "e" (loge) is the same thing as...
"e"
Natural Logarithm (LN)
Common Logarithm (Log)
Natural Log, base "e"
LNe
Condense
log8(a18/b3)
log8(a18b3)
log8(a/b3)
15log8(a/b3)
Expand
A
B
C
D
log(yz8x)
log8+logx-logy-logz
log8+logx-logy+logz
log(8x)-log(yz)
8logx-ylogz
Write as a single log: log 12 + 2 log x
log (12 + 2x)
log (14x)
log (12 * 2x)
log (12x2)
Expand the following logarithm:
log2 5x.
log2 5 - log2 x
log2 5 + log2 x
2log 5 + 2log x
log5 2 + logx 2
Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 98
log 78
log 56
log 45
Evaluate log52+log520−log54 . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.
1.4307
−1.4307
1.3470
−1.347
