algebra 2b - unit 2: 6-10

log_17(2)

0.24

2^x/3 = 100.6

19.96

What is the value of log_6(49)?

2.17

8^(7x-5)=8^(4x-3)

2/3

4*2^(x)=32

3

9^(4x)=243

5/8

log_(4)x^(5)

5log4(x)

3^(3/4+2) = 56.8

6.708

If 3^x2+4 = 7.32 what is the value of x?

−4.38

Examine the function f(x)=log2x Which point is the intersection of f(x) and the line y=1?

(2,1)

Which is the x-x-intercept of f(x)=log_6(2x)−1?

(3,0)

solve for x . 4^3x = 4^x−1

-1/2

5^(-2x-9)=5^(4x+15)

-4

Examine the logarithmic function f(x)=log5x−2 The function f(x) has a vertical asymptote at x= [blank]

0

solve 6^3x+1 = 10.8 for x

0.109

solve for x 8^x+2 = 99.6

0.213

If 6^4x=82 what is the value of x?

0.615

4^(3x)=37.9

0.874

If 4^3x = 37.9, what is the value of x?

0.874

Which interval contains all the x values where f(x)=log_0.75x is positive?

0<x<1

25^2x-1 = 400

1.431

What is the value of log_27(165)?

1.549

16^(3x)=64

1/2

10^(3x)=12

1og12/3

If 17^2x−3 = 35 what is the value of x?

2.127

log_5(75)

2.68

log_(3)24^(2)

2log_3(24)

7^(6x-11)=7^(2x+1)

3

9^(2x)=27

3/4

100^(4x)=1000

3/8

128=2^(3x-5)

4

5^(2x-5)=125

4

Solve for x. 3^5x+7 = 3^7x−1 [blank]

4

64=2^(2x-4)

5

A nearby pond has 5 frogs, and the population doubles every year. Which inequality, where tt is the number of years, models when the population of frogs will be greater than 75?

5(2)^t>75

5^x/2 = 65

5.187

On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received three times the number of unique visitors as the previous day. The number of visitors, v, can be modeled by v=15⋅3(d−1), where dd is the number of days in the campaign. On which day of the ad campaign did the website have 10,000 visitors?

7

Consider the following function: f(x)=log23x

As x approaches 0, y approaches −∞. As x approaches 23, y approaches ∞.

e^(2x)=4

In(2)

lesson 10

Key Features of Logarithmic Functions

lesson 6

exponential equations

Examine the following function: f(x)=log_3x Which graph represents the function?

https://assets.learnosity.com/organisations/625/asset/media/1239311

Which function represents the graph?

https://assets.learnosity.com/organisations/625/asset/media/1239315

h(x)=log_1/2x

https://assets.learnosity.com/organisations/625/asset/media/1239316

Which expressions are equivalent to log_9(14)

log14/log9 idk the other

match the terms.

log_(7)y^(10) - 10log_7y log7^4 - 4log_7 In7^10 - 10In7

A nearby pond has 5 frogs, and the population doubles every year. The inequality 5(2)t>75, where t is the number of years, models when the population of frogs will be greater than 75. Based on the inequality, when will the population of frogs in the pond be greater than 75?

t > 4 years

On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received three times the number of unique visitors as the previous day. Which equation can be used to determine the number of unique visitors, v, that the website would have on day dd of the ad campaign?

v=15⋅3^(d−1)

2^(4x)=6

x=ln(6)/4ln(2)

8*e^(x-1)=56

x=ln(7)+1

log_(2)6^(x)

xlog_2(6)

The membership fee at a sports club was $600 per year. Each year, the membership fee increased by 7%. The cost of membership, y, can be modeled by the equation y=600(1.07)x, where x is the number of years. How many years will it take for the cost of the membership to be $900? Choose the answer that gives the correct logarithmic equation and answer.

xx=log_1.07(1.5) ≈6

The membership fee at a sports club was $600 per year. Each year, the membership fee increased by 7%. Which equation models the cost of the membership fee, y, after x years?

y=600(1.07)^x