Question

Find n such that 5³ⁿ ÷ 5² = 78125 please do fast

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Answer 1

Answer:

hope you got your answer

Answer 2

Answer:

The value of n is 3.

Step-by-step explanation:

$\frac{5^{3n}}{5^{2}}=78125$

Hence,

$5^{\left(3n-2\right)}=78125$

Taking log on both sides,

$\log_{5}\left(5^{\left(3n-2\right)}\right)=\log_{5}78125$

Hence, $3n-2=7$

$3n=9$

And, n = 3.

Hope it helps.