Question

5^x + 5^(x+1) = 5^3 × 30

Answer 1

Answer:

$\boxed{4}$

Step-by-step explanation:

$5^x+5^{x+1}=5^3\times30$

$=>5^x+5^x.5^1=5^3\times30$

$=>5^x(1+5)=5^3\times30$

$=>5^x\times6=5^3\times30$

$=>5^x=5^3\times5$

$=>5^x=5^{3+1}$

$=>5^x=5^4$

Comparing the roots :

$x=4$

Laws of indices used :

$a^b\timesa^c=a^{b+c}$

$\mathsf{If\:a^b=a^c\:then\:b=c}$