Question

if 6^x ÷ 6^3 = 6^7, find the value of x
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Answer 1

Answer:

If $6^x \div 6^3 = 6^7$, then the value of x is 10.

Step-by-step explanation:

if $6^x \div 6^3 = 6^7$, find the value of x

Identity which is use is

$a^m \div a^n = a^{m-n}$

$6^x \div 6^3 = 6^7\\6^{x -3} = 6^7\\x - 3 = 7\\x = 7 + 3\\x = 10$

So, the value of x is 10.