+0

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

0
49
1
+54

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.

SurpriseMe  Jan 30, 2018

#1
+1711
+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
Sort:

#1
+1711
+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

### 21 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details