Question

Skyler, Robert, and Kaitlyn all solve the same exponential problem but have different approaches. Skyler Robert Kaitlyn 729=9 729=9 729=9 (36)=9 (93)=91 (36)=32 6x = 9 3x = 1 6x = 2 x = 96 x = 13 x = 26 x = 32 x = 13 Explain Sklyer's processes. Is Skyler correct? If not, where did she go wrong? Explain Robert's processes. Is Robert correct? If not, where did he go wrong? Explain Kaitlyn's processes. Is Kaitlyn correct? If not, where did she go wrong?

Answer 1

Answer:

1.Skyler is wrong because she didn't make the bases of both sides to be equal before equating the exponents.

2.Robert is correct because he made the bases of both sides to be the same before equating the exponents.

3. Kaitlyn is correct because she made the bases of both sides to be the same before equating the exponents.

Step-by-step explanation:

concept used : before equating the exponents of an equation first we should make their bases same.

1) SKYLER'S PROCESS;

The problem Skyler wants to solve is;

729^(x) = 9

The first step is to reduce 729 to the lowest base to get;

[3^(6)]^(x) = 9

then she equate 6x to 9.

When working with equality of exponents both sides should have the same base and so she could have converted 9 to have same base of 3 as the left hand side after which she will equate the exponents.

So Skyler is wrong.

2) ROBERT'S PROCESS;

Robert done correct as he kept the bases same before equating their powers

9^(3x) = 9¹

After which he equated the exponents to get;

3x = 1

x = 1/3

so, Robert is correct

3) KAITLYN'S PROCESS;

Kaitlyn is also correct because she followed the same correct process to keep the bases same before equating their exponents.

learn more about exponents at

https://brainly.com/question/15993626

#SPJ10