Respuesta :

Okay so this is how you solve this step by step. 

2log7(5)+log7(x)=log7(100)

Subtract 2log7(5) from both sides

log7(x)=log7(100)-2log7(5)

Simplify log7(100)-2log7(5)

log7(x)=2log7(2)

Apply log rule: alogc(b)=logc(b^a)

log7(x)=log7(4)

x=4. <----Answer

I hope this helps. 

X=4 is the correct answer hope this helps