Question

Resolva as equações exponencial

Answer 1

a) $5^{x+1}+5^{x+2}=30$

$5^{x+1}+5\cdot5^{x+1}=30$

$6\cdot 5^{x+1}=30$

$5^{x+1}=\frac{30}{6}$

$5^{x+1}=5$

$x+1=1$

$x=1-1$

$x=0$

b) $2^{x-1}+2^{x+2}=18$

$2^{x-1}+2^3\cdot 2^{x-1}=18$

$2^{x-1}+8\cdot 2^{x-1}=18$

$9\cdot 2^{x-1}=18$

$2^{x-1}=\frac{18}{9}$

$2^{x-1}=2$

$x-1=1$

$x=1+1$

$x=2$