Logarithmic and Exponential Functions

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

What is the x-intercept of the exponential function? 

• (0,1)

• (0,0)

• There is not one

What is the range of the graph?

• All real numbers

• (0,inf)

• (1,0)

• (-inf,0)

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Solve 8 = 2^5x+7

• ⅘

• ¼

• -⅘

• -¼

Solve 3³ = 3^{4x + 2}

• ¼

• -¼

• ½

• -½

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

In 2008, the wolf population in a certain area was 1200. The number of wolves increases exponentially at a rate of 3% per year. Predict the population in 2012.

• 1030

• 1062

• 1350

• 1391

What is the amount of time required for an investment to double at a rate of 8.2% if the interest is compounded continuously?

• 8.275 years

• 8.453 years

• 8.613 years

• 8.772 years