Question

find the value of m for which 5^m ÷5^3=5^3

Answer 1

Hey There! ☺

Nice Question! ♥

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Answer:

Let's solve your equation step-by-step.

$\frac{5^m}{5^3}$ = $5^{3}$

$\frac{1}{125}$ ($5^{m}$) =125

Step 1: Divide both sides by 1/125.

$\frac{1}{125} (5^{m} )\\---\frac{1}{125}$ = $\frac{125}{1}{125}$

$5^{m}$ = 15625

Step 2: Solve Exponent.

5^m=15625

log(5^m)=log(15625)  (Take log of both sides)

⇒m*(log(5))=log(15625)

⇒m= $\frac{log(15625)}{log(5)}$

⇒m=6 ANS

:)

Step-by-step explanation:

Answer 2

Answer:

m = 6

Step-by-step explanation:

Formula: xᵃ / xᵇ = xᵇ⁻ᵃ

Now according to this question, applying this formula we get,

$\implies \dfrac{5^m}{5^3} = 5^3\\\\\implies 5^{m-3} = 5^3$

Since the bases are equal we equate the powers. Hence we get,

⇒ m - 3 = 3

⇒ m = 3 + 3

⇒ m = 6

Hence the value of m is 6.

Hope it helped !!