A-action games
s-sports games

a+s=47
a=s+21

I replace the action games in the first equation

s+21+s=47
2s+21=47
2s=47 - 21
2s=26
s=26:2
s=13 number of sport games
a=13+21
a=34 number of action games

8 0

4 years ago

Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.)

Debora [2.8K]

a) Step 3 is correct. You can apply the log to both sides, as long as the log base is the same.

b) Step 4 is incorrect. The expression $\log_3(27)$ should simplify to 3, and not 9. This is because 3^3 = 27. Recall that $b^x = y$ is equivalent to $\log_{b}(y) = x$ . Based on that, we can say $3^3 = 27$ is equivalent to $\log_3(27) = 3$

So the final answer should be x = 3

If we check this with the original equation, then we have

7*3^x = 189

7*3^3 = 189

7*27 = 189

189 = 189

So the answer is confirmed.

6 0

3 years ago