Exponential and Logarithmic Functions

Solve the logarithmic equation. y=log40.25 Enter your answer in the box.

-1

What is the y-intercept of the exponential function? f(x)=−0.25(6)^x+2 −1 Enter your answer in the box.

-10

What is the exponential form of the logarithmic equation? 4=log0.8 0.4096 Enter your answer in the box.

0.4096=0.8^4

What are the x and y intercepts of the equation? y=log(7x+3)−2 Enter your answers to the nearest hundredth in the boxes.

13.86 −1.52

What is the value of the logarithm? log(750) Enter your answer to the nearest thousandth in the box.

2.875

Solve for x. 2^4x=8^3x−10 Enter your answer in the box.

6

Does each equation represent exponential decay or exponential growth? Drag and drop the choices into the boxes to correctly complete the table. Note: If an equation is neither exponential growth nor exponential decay, do not drag it to the table.

Exponential Decay: w=9/8(3/5)^t f(x)=(3/4)^t L=4.2(0.6)t Exponential Growth: W=0.5(2.1)^t L=0.25(12)^t f(x)=2/3(6)^t

Which statements represent the relationship between y=2x and y=log2x ? Select each correct answer.

They are inverses of each other They are symmetric about the line y = x.

The function f(x)=lnx is transformed into the equation f(x)=ln(9.2x). Select from the drop-down menus to correctly identify the parameter and the effect the parameter has on the parent function.

horizontal compression 5/46

Which graph represents the logarithmic function? y=ln(3x+4)+3

https://static.k12.com/nextgen_media/assets/8090333-NG_AL2_SemB_09_UT_07.png

What is the exact value of x? 4⋅63x=221

x=log55.25/3log6

Kyle starts a fundraiser with 43 pennies. He recruits all of the players on his baseball team to participate. His goal is to triple the amount of pennies everyday. Assume Kyle meets his goal each day. Use x to represent the number of days and y to represent the total amount of pennies after each day. Enter an equation that represents this scenario in the box.

y=43(3)^x