Completely and accurately answer all questions. double check all work. Which of the following equations shows the logarithmic equation below in exponential form?------------------------------Which of the following equations shows the logarithmic equation below in exponential form?---------------------------------Which of the following logarithms is equal to 1?======================Evaluate the logarithm without a calvulator.-221/2-1/2---------------------------------Use a calculator to evaluate log 6. Round to three decimal places.0.7781.7922.4491.732----------------------------Simplfy the expression Log xlog 2x--------------------------Find the inverse of the function y = y=2xy=7x====================What is the domain and range of the graph of the function below?y = log (x-2)Domain: all real numbers; Range: y > 2Domain: all real numbers; Range: y < 2Domain: x > 2; Range: all real numbersDomain: x < 2; Range: all real numbers=================Which of the following shows the graph of the function below?=========================The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model below, where E is the energy (in kilowatt-hours) released by the earthquake.R = 0.67 log (0.37E) + 1.46Suppose an earthquake releases 14,500,000,000 kilowatt-hours of energy. What is the earthquake’s magnitude? Round to three decimal places.4.4003.9798.2687.979---------------------

Design a correlational study, groups will need two variables with at least five sets of data. between these two variables: time spent playing video games and aggression.Then in 500-750 words, do the following:Create a hypothesis for the group’s study. Consider the hypothesis and how the group will define operationally and measure the variables.Describe how the group will obtain a random sample of participants.Assume the study produces a correlation of .56 between the variables. Analyze three possible causal reasons for the relationship.Submit an SPSS output for the correlational study.This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.I WILL ATTACH THE CORRELATIONAL STUDY!