Question

Find the value of x
5/6) ÷ (5/6)5 = (5/6)15
(5 and 15 are powers)
Hint : answer is 20
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Answer 1

I think question should be like this:

${( \frac{5}{6}) }^{x} \div { (\frac{5}{6}) }^{5} = { (\frac{5}{6}) }^{15}$

soln.

${( \frac{5}{6}) }^{x} \div { (\frac{5}{6}) }^{5} = { (\frac{5}{6}) }^{15} \\ { (\frac{5}{6}) }^{x - 5} = { (\frac{5}{6}) }^{15}$

since both base are same so we can write,

x - 5 = 15

x = 15 + 5

x = 20