Exponential/Logarithmic Review

Front

Solve for x: log₄ x = 3

Back

64

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

Write as a single logarithm: 16 log u + 4 log v

Back

log(v⁴u¹⁶)

Front

Solve for x: (-3)ⁿ = (-3)¹³

Back

13

Front

Solve: 9^(8-x) = 27^(x-3)

Back

x = 5

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

Convert the exponential equation 2^x = 16 to logarithmic form.

Back

log₂ 16 = x

Front

What is the change of base formula for logarithms?

Back

logₐ b = logₓ b / logₓ a for any base x.

Front

If log₁₀ 100 = x, what is the value of x?

Back

2

Front

What is the product rule for logarithms?

Back

logₐ (xy) = logₐ x + logₐ y