logarithmic equations

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

 $\frac{\ln e^{26}}{2}$  

 $\frac{\ln e^{32}}{4}$  

Solve the following equation for x.  Round your solution to two decimal places.
ln2x - ln41 = 2

• x = 0.36
• x = 151.48
• x = 41
• None of these are solutions

Solve the following equation for x.  Round your solution to two decimal places.
ln3x + ln2x = 3

• x = 12.91
• x = 4.02
• x = 3.35
• x = 1.83

Rewrite in exponential form:
ln(2) = x

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