Solving Exponential Equations and Log Properties

log4- logx- log5+log3

• log(20/3x)

• log(12x/5)

• log(12/5x)

• log(5x/12)

2³ⁿ = 4

• 2

• 3

• 2/3

• 4

Solve 8 = 2^5x+7

• x = ⅘

• x = ¼

• x = -⅘

• x = -¼

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

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

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)