Problem

Which of the following is the logarithmic form of the equation y=20^-3/2

Answer

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Answer

The logarithmic form of the equation y=20^-3/2 is \(\boxed{log_{20}(y) = -\frac{3}{2}}\).

Steps

Step 1 ：The given equation is in the exponential form. To convert it to the logarithmic form, we need to use the property of logarithms that states: if a^b = c, then log_a(c) = b. In this case, a is 20, b is -3/2, and c is y.

Step 2 ：Therefore, the logarithmic form of the equation will be log_20(y) = -3/2.

Step 3 ：The logarithmic form of the equation y=20^-3/2 is \(\boxed{log_{20}(y) = -\frac{3}{2}}\).

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