Solving Logarithmic Functions

Ms. Jones isn't sure if she solved this logarithmic equation correctly. Check her work to determine if she made any mistakes. If she did make a mistake, determine what it was.

• She did not convert to exponential form correctly.

• She did not distribute the 4 when combining the logs.

• She should have subtracted 2 from both sides instead of adding 2.

• No mistakes were made!

Mrs. Cruise isn't sure if she solved this logarithmic equation correctly. Check her work to determine if she made any mistakes. If she did make a mistake, determine what it was.

• She did not convert to exponential form correctly.

• She should have divided the arguments.

• She used the incorrect base when converting to exponential form.

• No mistakes were made!

• -5 does not match the base of the logarithms.

• -5 is less than the output of the equation.

• Plugging in -5 for x results in a negative argument.

• Plugging in -5 for x results in a positive argument.

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

Solve:
log₉(x)+log₉(x+2)=log₉(35)

Mathematical Equivalence

ON

The curve on a test is described using the function

g = 13log₂(x),

where x is the original grade and g is the final grade. If a student's final grade is a 78, what was their original grade?

Mathematical Equivalence

ON

Solve for x:

log_x100 = 2

Mathematical Equivalence

OFF

Mathematical Equivalence

ON

• 5
• 13
• 84
• -20

Solve

• A

• B

• C

• D