What will be the distance from point c' in the rotated figure?
2 answers:
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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 should simplify to 3, and not 9. This is because 3^3 = 27. Recall that
is equivalent to
. Based on that, we can say
is equivalent to
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.