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**+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

#1**+1 **

Best Answer

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