exponential and logarithmic functions

Use multiple log properties to write as a single log:
3log₂x -  log₂y + log₂z

• log₂(x/(yz))
• log₂(x³yz)
• log₂(x³z/y)
• log₂(x³/(yz))

Expand completely: log(2x⁵) 

• log 2 + 5log x
• 5log 2 + 5log x
• 5log 2 + log x
• log 10 + log x

Evaluate log₈ 8

• 8
• -1
• 0
• 1

Solve for x:

2(3)^x+1 = 36

• 
• 
• 
• 

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Sovle for x:

6^{-3x - 1} = 36

• x = -1

• x = -4

• x = -3

• x = 1

Answer explanation

$36=6^2$ $\rightarrow\ \ \ \ \ 6^{\left(-3x-1\right)}=6^2$

$\therefore\ \ \ \ -3x-1=2$

Solve the following for the unknown value of x.  Round your solution to two decimal places. 
5 ln (3x - 2) = 15

• x = 1.24
• x = 7.36
• x = 217,935.16
• x = 6.03