Question

If $5^{x+1}÷25=125,$ find the value of x.

Answer 1

given that

$5^{x+1}÷25=125$

$\Rightarrow 5^{x+1}=125\times 25=3125=5^5$

therefore equating the powers as bases are equal we get

$x+1=5$

$\Rightarrow x=5-1=4$