Fuentes Powers
05/02/2023 · Junior High School
14 Solve \( x: 6^{30}+6^{30}+6^{30}+6^{30}+6^{30}+6^{30}=6^{x} \quad \) Display your reasoning.
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( 6^{30}+6^{30}+6^{30}+6^{30}+6^{30}+6^{30}=6^{x} \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(6^{30}+6^{30}+6^{30}+6^{30}+6^{30}+6^{30}=6^{x}\)
- step1: Simplify:
\(6^{31}=6^{x}\)
- step2: Set the exponents equal:
\(31=x\)
- step3: Swap the sides:
\(x=31\)
Detta ekvation är löst med \( x = 31 \).
Quick Answer
Lösningen är \( x = 31 \).
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