Pls me asap for all 5! (show work for ) + lots of *even ! *

Write the equation in logarithmic form e^x=403.429

Three students each examine the system of linear equations shown. 8x + 4y = 16 8x + 2y = 8 caleb says there is exactly one solution. jeremy says there is no solution. kim says there are infinitely many solutions. which student is correct? provide mathematical reasoning to support your answer. answer in complete sentences. : d

The graph shows a vertical translation of y= square root of x cubedwhat is the range of the translated function? {yly < 0}{yly > 0}{yly is a natural number}{yly is a real number}