Answer:
[tex]w = 20[/tex]
Step-by-step explanation:
Step 1: Find common bases
[tex]81^5 = 3^w[/tex]
[tex]81[/tex] → [tex]3 * 3 * 3 * 3[/tex] → [tex]3^4[/tex]
Therefore, [tex]81 = 3^4[/tex]
[tex]81^5[/tex] → [tex]3^(^4^)^*^5[/tex] → [tex]3^2^0[/tex]
So... [tex]3^2^0 = 3^w[/tex]
Since same base now, we can evaluate the exponents by themselves.
[tex]20 = w[/tex]
Answer: [tex]w = 20[/tex]
