Question

Find the value of d in this equality below 5d ÷ 5³=5¹⁸

(the d should be squaring the first five)​

Answer 1

d = 21

Explanation:

Given equation:

`5^d / 5^3=5^(18)`

Multiply both sides by 5³:

`\implies 5^d=5^(18) * 5^3`

`\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^(b+c):`

`\implies 5^d=5^(18+3)`

`\implies 5^d=5^(21)`

`\textsf{Apply exponent rule} \quad a^(f(x))=a^(g(x)) \implies f(x)=g(x):`

`\implies d=21`