Pre-Calc Review #2 Fall 2023

Solve log(x) + log(x+3) = 1

• 5
• -2
• -5
• 2

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

• no solution
• only 6
• 6 and -2
• 3

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Evaluate: log₆₄4 = x

• x = 3

• x = -3

• x = ⅓

• x = -⅓