Solving Exponential and Logarithmic Equations

Solve $2^x=13$
Round your answer to the nearest hundredth

• 1.11

• 0.27

• 3.70

• 3.60

Tags

CCSS.HSF.LE.A.4

Mr. Peake puts $1000 in an investment account. The account grows annually by 11% per year. How much time will go by before the account reaches a balance of $15,000?

• 25.9 years

• 26.2 years

• 26.4 years

• 26.8 years

Tags

CCSS.HSF.LE.A.4

If $1200 is put into an account that earns 3.2% interest compounded continuously, Approximately how long will the account take to have a balance of $7200?

• 56 years

• 59 years

• 62 years

• 67 years

Tags

CCSS.HSF.LE.A.4

Solve for x:
4^x- 5 = 12

• 0.489

• 2.552

• 0.893

• 2.044

Tags

CCSS.HSF.LE.A.4

Solve for x:
5 e^6x+3 = 0.1

• -1.152

• 0.232

• -3.077

• -0.854

Solve for x.
e^x+6 + 5 = 1

• -4.614

• -4.236

• No Solution

• -0.334

Solve for x.
6 - e^12x  = 5.2

• -0.019

• -0.102

• No Solution

• 7.777

Condense to a single logarithm.

• ln x⁴/ y

• ln xy⁴

• ln x/ y⁴

• ln x⁴/ y⁴

Solve for n:
2^-2n = 2⁶

• -1

• -7

• 5

• -3

Solve for a:
5^{a + 2} = 1/125

• -1

• -6/7

• -5

• 4

Tags

CCSS.HSF.LE.A.4