Question

The solution of equation 5(3^x)+3(5^x)= 510 is

Answer 1

Step-by-step explanation:

$5( {3}^{x} ) + 3( {5}^{x} ) = 510$

$\frac{5( {3}^{x}) }{15} + \frac{3( {5}^{x} )}{15} = \frac{510}{15}$

${3}^{x - 1} + {5}^{x - 1} = 34 = 9 + 25$

${3}^{x - 1} = 9$

${5}^{x - 1} = 25$

$\: in \: both \: cases \: x - 1 = 2$

$x = 3 \: ans.$

hope it helps you mate....