Question

writer the following in logarithmic form 8^y = 512​

Answer 1

Answer:

The answer will be log₈ 512 = y.

Step-by-step explanation:

Given exponential form is;

                              8^y = 512​;

Here, 8 is being raised to power y in order to get 512.

To form any logarithmic form, we say at what power the base will be raised to give an argument.

Like,   Let's suppose logₐ b is our logarithm. So, here 'a' indicates 'base' while 'b' indicates 'argument'.

Now, let us assume that, logₐ b = c;

Thus, here it will be said that 'a' is being raised to power 'c' to give 'b'.

Therefore, 8^y = 512​ can be written in logarithmic form as;

                    log₈ 512 = y;

       [ log₈ 512 = y;

          log₈ 8³ = y;

           3log₈ 8 = y;

          3(1) = y;

         Thus, y = 3;]

That's all.