Transformation of Log Functions

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

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Simplify: 2log(x) + 3log(xy)

• log(x⁵y³)

• log(5xy)

• 5log(x²y)

• log(6x²y)

ln(wvu⁵) ln(u + v + w⁵) ln(uvw⁵) ln(uvw)⁵

• ln(wvu⁵)

• ln(u + v + w⁵)

• ln(uvw⁵)

• ln(uvw)⁵

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

log₉(10)-log₉(x-3) =log₉(72)

• 81/16

• 113/36

• No Solution

• 92/15

log7+log(x²-4)=log35

• -1

• -2

• -3

• -4

Which of the following transformations would take f(x)= lnx to g(x)= −ln(x+5)

• reflection over the x-axis

• reflection over the y-axis

• translate right 5

• translate up 5

• translate left 5

Given g(x) is a transformation of the graph , determine which of the below correctly describe g(x)?

Answer explanation

The parent function f(x) was shifted left 4 & down 2!! You can also graph each answer choice to match g(x)!!

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4