Given that 2^A×3^B×5^13=20^D×18^12, where A,B, and D are postive integers, compute A+B+D.
1 answer:
Answer: 75
<u>Step-by-step explanation:</u>
⇒
⇒
⇒
Now compare the like bases:
⇒ A = 2D + 12
⇒ B = 24
⇒ D = 13
Next, let's solve for A:
A = 2D + 12
= 2(13) + 12
= 26 + 12
= 38
LAST STEP: Find the sum of A, B, and D
S = A + B + D
= 38 + 24 + 13
= 75
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