How do I work out Logs on my calculator to do the sum Log6x=0 or Logx64=2. I have a sharp EL-EL531WH Advanced D.A.L. What is x?

This is how I work this one out on it,
Log2^16=4 I do Log big number 16 /Log small number 2 = 4.

To solve the equation Log6x = 0 using your Sharp EL-EL531WH calculator, you will need to understand the logarithmic properties and how to perform logarithmic calculations. Here's a step-by-step guide:

Step 1: Determine the base of the logarithm.
In this case, the base of the logarithm is 6.

Step 2: Set up the logarithmic equation.
The given equation is Log6x = 0.

Step 3: Apply the inverse property of logarithms.
To isolate the variable x, you can use the inverse property of logarithms. Since Log6x = 0, you can rewrite it as 6^0 = x.

Step 4: Calculate the value of x.
Using your calculator, perform the calculation 6^0. The result is 1, so x = 1.

Now for the equation Logx64 = 2:

Step 1: Determine the base of the logarithm.
In this case, the base of the logarithm is x.

Step 2: Set up the logarithmic equation.
The given equation is Logx64 = 2.

Step 3: Apply the inverse property of logarithms.
To isolate the variable x, you can use the inverse property of logarithms. Rewrite the equation as x^2 = 64.

Step 4: Calculate the value of x.
Using your calculator, perform the calculation √64. The result is 8, so x = 8.

Therefore, for the equation Log6x = 0, x = 1, and for the equation Logx64 = 2, x = 8.