Question

What is the log(45)/log(15) simplified?

Answer 1

Sorry...I completely goofed on my previous answer. You could do what Panoyin did, but you could also remember that logbase(a)x = logbaseb(x)/logbaseb(a). Therefore, log(45)/log(15) can simplify to logbase15(45)

Answer 2

`\frac{log(45)}{log{(15)}} = \frac{log(9 * 5)}{log{(3 * 5)}} = (log(9) + log(5))/(log(3) + log(5)) = (log(3^(2)) + log(5))/(log(3) + log(5)) = (2log(3) + log(5))/(log(3) + log(5)) = (2log(3))/(log(3) + log(5)) + (log(5))/(log(3) + log(5))`