2023年7月12日 · To evaluate lo g 6 216, we need to determine the exponent to which the base 6 must be raised to produce the number 216. We can express this relationship using the equation: 6 x = 216. To find x, we can rewrite 216 as a power of 6: Notice that: 6 3 = 6 × 6 × 6 = 36 × 6 = 216. This shows us that raising 6 to the power of 3 equals 216 ...

The logarithmic function in the form log6(216) = 3 converts to 6^3 = 216 in the exponential form. That's because the log base, which is 6, is raised to the log result, which is 3, to obtain 216. Explanation: The given logarithmic expression is log6(216) = 3. Logarithmic form can be converted to its equivalent exponential form by using the rule ...

Simplify log6 216 log6(216)=3 This says the log of 216 to the base 6 is equal to 3(exponential form) ...

2025年1月28日 · Which logarithmic equation is equivalent to this exponential equation? 6ˣ = 216 A. log₆ 216 = x B. logₓ 6 = 216 C. logₓ 216 = x D. 10g₆ x = 216 Community Answer Convert the logarithm to exponential form: log6(216) = 3 a) 63 = 216 b) 6x = 216 c) 36 = 216 d) 2163 = 6

2021年1月5日 · Observing 216, we find that: 216 = 6 3 Therefore, we can replace 216 in our logarithmic equation: 6 x = 6 3 Since the bases are the same, we can equate the exponents: x = 3 Thus, we conclude that: lo g 6 216 = 3 In summary, the logarithm of 216 with base 6 results in the exponent 3, meaning that raising 6 to the power of 3 gives us 216.

log(base 6)216 = x can be written as 6^(x) = 216. The number 6 raised to what power will yield 216? As you said, x = 3 because you must multiply 6 by itself 3 times to get 216. In other words, 6 x 6 x 6 = 216. Therefore, x = 3.

To find which option is equivalent to lo g 216, we can use the properties of logarithms. Express 216 in terms of its base: We know that 216 = 6 3 because multiplying 6 by itself three times gives us 216. Apply the power rule of logarithms: The power rule states that lo g (a b) = b ⋅ lo g (a). Therefore, we can rewrite lo g (6 3) as: lo g (6 3 ...

2020年4月2日 · The logarithmic equation log6 216 = 3 in exponential form is 63 = 216, which states that 6 raised to the power of 3 equals 216. Explanation: To write the logarithmic equation log6 216 = 3 in exponential form, we translate this into the statement "6 raised to the power of 3 equals 216." This derives from the definition of a logarithm, which is ...

2025年1月9日 · 216 = 6 3 because 6 × 6 × 6 = 216. Set the Exponents Equal: Now that we know 216 = 6 3, we can equate the exponents because we have the same base: 6 x = 6 3; Therefore, we can conclude that x = 3. Thus, the solution to the equation is: x = 3. This confirms that when 6 is raised to the power of 3, it equals 216, validating our original ...

The result (b) is 216, The logarithm (c) is 3. Applying this to our specific case: 6 3 = 216 This means that if you raise 6 to the power of 3, you will get 216. To confirm: 6 3 = 6 × 6 × 6 = 36 × 6 = 216 Thus, the exponential form of the given logarithmic equation is 6 3 = 216.