Question 1200017
Solve the following exponential equations 
a) 3^x=5(2^x)

b) 9^(x-1)*3^x=27
<pre><font color = blue><font size = 4><b>a)</font></font></b> {{{matrix(1,3, 3^x, "=", 5(2^x))}}}
 {{{matrix(1,3, (3^x)/(2^x), "=", 5)}}}---- Dividing by {{{2^x}}}
 {{{matrix(1,3, (3/2)^x, "=", 5)}}}
    {{{matrix(1,3, x, "=", log(3/2, (5)))}}} ----- Converting to LOGARITHMIC form
    {{{matrix(1,7, x, "=", log ((5))/log ((3/2)), ", or", log ((5))/(log ((3)) - log ((2))), "=", highlight(3.9694)))}}}</pre>