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Simplify 81^5=3^w and find w
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5 votes
Simplify 81^5=3^w and find w

User Vinay B
by
5.7k points

1 Answer

4 votes

Answer:


w = 20

Explanation:

Step 1: Find common bases


81^5 = 3^w


81 →
3 * 3 * 3 * 3 →
3^4

Therefore,
81 = 3^4


81^5 →
3^(^4^)^*^5 →
3^2^0

So...
3^2^0 = 3^w

Since same base now, we can evaluate the exponents by themselves.


20 = w

Answer:
w = 20

User Dejan Atanasov
by
5.5k points
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