Properties of logs

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

 $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Using the change of base rule, what is this logarithm equivalent to?

• A
• B
• C
• D

Using the change of base property, rewrite log₂31

• log(2) / log(31)

• log(2/31)

• log(31)/log(2)

• log(31/2)

log₄1 = 

• 0
• 1
• 4
• DNE

Evaluate log_b(b)

• -1
• 0
• 1
• b

Evaluate
log₃81

• 4
• -4
• 1
• 0

ln e⁵= 

• e⁵
• ln 5
• 5
• 5e

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x