Solving Problems with Logs

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.BF.B.5

log (x) + log (x) = log (25)

• -5, 5
• 5
• -5
• 25

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

4^(x-2)= 64^(x+1)

• -2/5
• -5/2
• 7/2
• 2/7

log (-1) = 

• 0.1
• .01
• all real numbers
• does not exist

Tags

CCSS.HSF.BF.B.5

log (x - 1)  - log (x - 2)  = log 5

• 7
• 4/9
• 9/4
• 1/7

condense log₁₂15+3log₁₂4

• log₁₂
• log₁₂960
• log₁₂43
• log₁₂99

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

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

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044

Tags

CCSS.HSF.LE.A.4