Log and Exponential Functions

Convert 3^x = 12 to the equivalent log form.

• 3¹² = x

• log_x 3 = 12

• log₃ x = 12

• log₃ 12 = x

Tags

CCSS.HSF.BF.B.5

Convert ln x = 80 to exponential form.

• ln 80 = x

• 80e = x

• ln_e = x

• e⁸⁰ = x

Tags

CCSS.HSF.BF.B.5

Find the asymptote of the following function: f(x) = 2^x-4 -9

• y = -9

• y = 4

• x = -9

• x = 4

• y > 9

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

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

Solve the following equation for x (exact answer):

log₂(2x - 5) = 6

• 64

• 17/2

• 11/2

• 69/2

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

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