Log and Exponential Function

Find the asymptote of the following function: f(x) = log₂(3x-4) +8

• y = 8

• y = 4/3

• x = 4/3

• x = 8

• x > 4/3

Tags

CCSS.HSF-IF.C.7E

Find the exact answer of x:

12e^2x+4 - 6 =18

• -1.65

• ln 2 - 4/ 2

• ln 36 - 4/2

• ln 12 - 4/2

Find the simplest exact answer of the problem below:

2^2x+4 = 8

• log₂8 -4/2

• log₂4 - 2

• 1/2

• -1/2

Sally invested $8000 compounded continuously at an 8.4% interest rate, how much time will it take to reach $42,000. Round to the nearest hundredth.

• 19.74 years

• 20 years

• 0.14 years

• 11.77 years

Tags

CCSS.HSF.LE.A.4

Condense the following to a single log.

3log2 + log5 - log4 - log2

• log (40/8)

• log 5

• log 6

• log 2³(5)/(4)(2)

Simplify the following expression: lne^3x-9

• 3

• 3x - 9

• 9

• 1/3

Find the x-intercept of the following function: f(x) = ln (3x - 2) + 2

• x = 3/2

• (0.71, 0)

• (3.13, 0)

• (0.72, 0)

Tags

CCSS.HSF-IF.C.7E

Simplify: log_x x^2y

• 2y

• 2

• x

• 0.30

find y' for y=(e^5x)+1

• 5e^5x+1

• e^5x

• 5e^5x

• 1

Tags

CCSS.HSF-IF.C.8B

Find dy/dx

• A

• B

• C

• D