Wendy is looking over some data regarding the strength, measured in pascals (pa), of some rope and how the strength relates to the number of woven strands in the rope. the data are represented by the exponential function f(x) = 2x, where x is the number of woven strands. explain how she can convert this equation to a logarithmic function when strength is 256 pascals.

 is the equation in  logarithmic function when strength is 256 Pascals and x = 8.

Step-by-step explanation:

Given:  The data are represented by the exponential function where x is the number of woven strands.

We have to convert this equation to a logarithmic function when strength is 256 Pascals.

Consider the given exponential function

To convert equation to a logarithmic function

if then to convert it into logarithmic function as

That is here ,  then in logarithmic

Now given the strength is 256 pascals.

That is f(x) = 256 pascals.

We have,

Solving Left side of above equation

Writing 256 in base power from as

Apply log rule,

we have,

again apply log rule,

= 8

Thus, x = 8

 is the equation in  logarithmic function when strength is 256 Pascals and x = 8.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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