Solving Exponential and Logarithmic Equations Hard

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Re-write in log form 2⁶=64

• log₂6=64

• log₂64=6

• log₆₄2=6

• log₆₄6=2

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Evaluate.
3 log₂4

• 3

• 6

• 2

• 4

Evaluate log_b(b)

• -1

• 0

• 1

• b

Write as one logarithm. Simplify, if possible.

log₃9 + log₃27

• log₃3

• log₃243

• log₃1/3

• not possible

Expand the logarithm
log₇ x³/y⁴

• log₇ x³ - log₇ y⁴

• log₇ x³ + log₇ y⁴

• 3log₇ x - 4log₇ y

• (3log₇ x) / (4log₇ y⁾

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

• A
• B
• C
• D

• A
• B
• C
• D