+0

If 6.9^a = 4.7^b, then b/a = ?

0
320
1
+86

If 6.9^a = 4.7^b, then b/a = ? Round the answer to two decimal places.

a*log(6.9) = b*log(4.7)

log(4.7)/log(6.9) = 0.80

Did I do this wrong? This dosn't seem to be the correct answer.

Jan 30, 2018

#1
+2338
+1

You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.

$$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$

Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.

Jan 30, 2018

#1
+2338
+1

You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.

$$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$

Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.

TheXSquaredFactor Jan 30, 2018
The text contains a mathematical question and an incorrect answer provided by the user, followed by a response from another user guiding them to the correct solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
+0

If 6.9^a = 4.7^b, then b/a = ?

0
320
1
+86

If 6.9^a = 4.7^b, then b/a = ? Round the answer to two decimal places.

a*log(6.9) = b*log(4.7)

log(4.7)/log(6.9) = 0.80

Did I do this wrong? This dosn't seem to be the correct answer.

Jan 30, 2018

#1
+2338
+1

You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.

$$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$

Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.

Jan 30, 2018

#1
+2338
+1

You are so incredibly close to the right answer. Let me see if I can steer you in the right direction, if I can.

$$6.9^a=4.7^b\\ \log\left(6.9^a\right)=\log\left(4.7^b\right)\\ a\log 6.9=b\log4.7\\ \frac{a}{b}=\frac{\log 4.7}{\log 6.9}\approx0.80$$

Your answer is wrong because you solved for something other than what the question asked for. The above is the work that you provided. In the above, you solved for $$\frac{a}{b}$$, but what is the question asking you to solve for? Adjust your solving so that you are solving for the correct expression.

TheXSquaredFactor Jan 30, 2018
user
The text contains a mathematical question and an incorrect answer provided by the user, followed by a response from another user guiding them to the correct solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER