Rewriting and Solving Logarithms

Evaluate.
2^log₂12

• 6

• 2

• 9

• 12

Change the following into logarithmic form: h = p ^g

• log _g p = h

• log _p h = g

• log _p g = h

• log _h p = g

Rewrite as an exponential:
log(10,000)=4.

• e⁴=10,000

• 4^10,000=10

• 10⁴=10,000

• 0⁴=10

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)

• log₁₀ 7 + log₁₀ x

• 7log₁₀ x

• xlog₁₀ 7

Express as a single logarithm:
 log₃ 27 - log₃ 9

• log₃ 243 

• log₃ 3 

• log₃ 18

• log₃ 36

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

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Solve for x:
log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Write the value of:
log₆ (1/6)

• - 1/6

• 1/6

• -1

• 1

Solve: log (x + 1) + log (2) - 3 = -1

• 49

• 51

• 97

• -1/2