Pre Calc Solving Exponentials and Logs

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

• 21.09 million

• 184.73 million

• 42.78 million

• 96.72 million

Evaluate log 10,000

•  $-\frac{1}{2}$  

• 0

• 4

• undefined

Evaluate the exponential function

f(x) = 3^x ; x = - 2

• -81

• -9

• 1/9

• -1/81

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both

Which function has a vertical asymptote?

• exponential

• logarithm

• both

• neither

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these