Question

Ola boa tarde, necessito de ajuda
14^(x+2)\7^x=6272
Obrigado

Answer 1

$\dfrac{ 14^{x+2} }{ 7^{x} } =6272$

$\dfrac{ 14^{x}. 14^{2} }{ 7^{x} } =32. 14^{2}$

$\dfrac{ 14^{x} }{ 7^{x} } =32$

$( \dfrac{14}{7} )^{x} =32$

$2^{x} = 2^{5}$

$x=5$

Answer 2

.
$\frac{14^{(x+2)}}{7^x} =6272 \\ \\ \frac{14^x.14^2}{7^x} =6272 \\ \\ \frac{14^x}{7^x} =6272\div14^2 \\ \\ ( \frac{14}{7} )^x=6272\div196 \\ \\ 2^x=32 \\ \\ 2^x=2^5 \\ \\ x=5$