Exponential and Logarithmic Functions - Part 1

What is the y-intercept of the exponential function? f(x)=−0.25(6)^x+2−1

-10

Solve the logarithmic equation. y=log10 0.0001

-4

What is the exponential form of the logarithmic equation? 3=log0.6 0.216

0.6^3= 0.216

Solve for x. 5^11x=25^(x+9)

2

What is the value of the logarithm? ln(52) Round the answer to the nearest ten thousandth.

3.9512

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 A=(0.97)^t y=3.7(0.2)^t Exponential Growth y=9/11 (4)^t p=7/9(5/4)^t v=0.8(9)^t p=0.9(8.3)^t

Which statements represent the relationship between y=4x and y=log4x ? Select each correct answer.

The functions are inverses of each other. The graphs of functions are symmetric to each other over the line y = x.

Which graph represents the logarithmic function? y=log(12x+2)−2

USE DESMOS AND WATCH THE LINE!!

he function f(x)=logx is transformed into the equation f(x)=4.3logx. Select from the drop-down menus to correctly identify the parameter and the effect the parameter has on the parent function. The function f(x)=4.3logx is a of the parent function by a factor of

Vertical stretch and 4.3

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

x-intercept = 13.861 y-intercept = −1.522

What is the exact value of x? 5⋅8^4x=376

x=log75.2/4log8

Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population of the fish doubles every year. Use x to represent the number of years and y to represent the population of the fish. Enter an equation that represents this scenario in the box.

y=500(2)^x