Write the equations in logarithmic form

216=6^3 I got 0

16-(1/4)^-2 1/2

thank you very much for your help

216 = 6^3 <-----> log6 216 = 3

How did you ever get 0 as an answer?
That is not even an equation !
I suggest you memorize the definition of logs

16-(1/4)^-2 1/2

No idea what that is supposed to be.
Was that supposed to be an equation like your question suggested?

To write equations in logarithmic form, we need to remember the relationship between logarithms and exponential equations.

1. Equations in logarithmic form:
Let's start with the equation: 216 = 6^3.

In logarithmic form, we write: log(base 6) 216 = 3.

To understand this, we are saying that the logarithm of 216 (with base 6) is equal to 3.

2. Simplifying the expression:
Next, let's simplify the expression: 16 - (1/4)^-2.

First, we need to address the negative exponent. By flipping the fraction and changing the sign of the exponent, we get: 16 - (4^2).

This simplifies to: 16 - 16 = 0.

So, the value of the expression is 0.

Please note that I answered your question based on the information provided. If there are any additional calculations or details you would like me to explain, feel free to ask.