log _{216} 6=

Question

log _{216} 6=

Accepted Answer

Step:1 ：The problem is asking for the logarithm base 216 of 6. The logarithm base b of a number x is the exponent to which b must be raised to get x. In other words, if (b^y = x), then (log_b x = y).Step:2 ：In this case, we need to find the exponent to which 216 must be raised to get 6. We know that 216 is (6^3), so we can rewrite the equation as (log_{6^3} 6).Step:3 ：This simplifies to (frac{1}{3}), because (6^3) raised to the power of (frac{1}{3}) equals 6.Step:4 ：Final Answer: (boxed{0.3333333333333333})

Answer

Step: 1 ：The problem is asking for the logarithm base 216 of 6. The logarithm base b of a number x is the exponent to which b must be raised to get x. In other words, if (b^y = x), then (log_b x = y).Step: 2 ：In this case, we need to find the exponent to which 216 must be raised to get 6. We know that 216 is (6^3), so we can rewrite the equation as (log_{6^3} 6).Step: 3 ：This simplifies to (frac{1}{3}), because (6^3) raised to the power of (frac{1}{3}) equals 6.Step: 4 ：Final Answer: (boxed{0.3333333333333333})

$\log _{216} 6=$

Answer

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