Question

If 3^²x-⁸/225=5³/5x then find x
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Answer 1

Answer:

5

Step-by-step explanation:

Let's analyze only the terms related with power of 5.

All terms which will be a multiple of 5 will come from 225 and 5³

225 = 25 * 9 = 5² * 9

Let 3^(2x-8) = c. We won't be dealing with this term at all.

Now on rearrangement

c∗5^x=5³∗5²∗9

By comparison of powers

5^x=5³∗5²=5^(2+3)=5⁵

x=5

To cross check you can see that c = 9 = 3²

but c = 3^(2x-8)

So 2x-8=2; 2x = 10 so x=5

In both cases we get the same answer

Hope it helps

Answer 2

Step-by-step explanation:

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